ESPYs

Caitlyn Jenner's taken a ton of flak for her appearance, but now she has a bona fide stamp of approval -- from no less an authority than Vogue!

The magazine just put her ESPY outfit on its list of the 10 best dressed women of the week.

Pretty sure D.L. Hughley ain't co-signing on that selection. How about you?

Kendall Jenner is officially attached ... to a nipple ring!

It was semi-apparent when the 19-year-old walked the red carpet before the ESPYs. There was a faint trace of what looked like metal balls in the nipple area.

Our Kardashian sources say it's the real deal. The 2 balls that were evident are the ends to a bar that goes right through her left nipple.

Turns out Kendall is following in her little sister's footsteps. Kylie got her piercing earlier this year.

Peter Berg's in full damage control mode ... saying he has nothing but the "utmost respect for Caitlyn Jenner" ... after posting a meme about her earlier today that many people called "transphobic."

The "Ballers" producer/co-star just went to Instagram and wrote, "I have the utmost respect for Caitlyn Jenner and I am a strong supporter of equality and the rights of trans people everywhere."

It's a much different tone than the one he took earlier -- when he posted an Internet meme that ripped ESPN for giving the Arthur Ashe Courage Award to Jenner instead of a military vet.

The original meme Berg posted included a pic of both a double amputee military vet and Caitlyn Jenner and included the caption, "One man traded 2 legs for the freedom of the other to trade 2 balls for 2 boobs."

In his new Instagram post, Berg tries to clarify his stance -- saying, "I also believe that we don't give enough attention to our courageous returning war veterans, many of whom have sacrificed their bodies and mental health for our country and our principals- principals that include the freedom to live the life you want to live without persecution or abuse."

There was a Caitlyn Jenner blackout on ESPY day ... and the reason is all about hate.

We noticed late Wednesday morning if you hashtagged Caitlyn Jenner "most recent" would not come up. That means there was no way to see photos or texts using the hashtag.

The only photos you could see were from a few top posts ... all very nice and positive.

Here's what we found out. Instagram itself blocked its users ability to view "most recent" photos and texts, because there had been a flurry of really awful comments and uploads, including:

-- 'Until you grow a vagina and bleed, you will never be a woman'

-- 'F***ing Fa***t'

-- 'How is this THING rewarded anything'

There were so many negative comments and complaints about those comments, Instagram took swift action.

After Caitlyn took the stage, Instagram re-activated the hashtag and there was a flood of positive comments.

Nevertheless ... Caitlyn clearly has her work cut out for her.

Peter Berg ain't happy with all the praise being heaped on Caitlyn Jenner -- and is now mocking everyone from ESPN to President Obama for honoring her ... instead of military vets.

The "Friday Night Lights" director -- who also produces and co-stars in "Ballers" -- reposted a crass meme to Instagram following the ESPYs which compares a double amputee military vet to Caitlyn.

Berg co-signed on the meme with a simple comment -- "Yup."

Berg wasn't the only star to express outrage over Jenner getting the award -- Miami Dolphins wide receiver Jarvis Landry tweeted, "What exactly is 'COURAGE' these days?"

He was retweeted by NFL linebacker Sio Moore.

So, how is ESPN handling the criticism? Michelle Beadle summed it up this way:

"This rage over an arbitrary award is silly. Courage and bravery come in many forms and faces. I welcome progress for everyone. #BeYou."

Caitlyn Jenner owned the ESPYs Wednesday night when she gave an emotional, personal, sometimes tearful and rousing plea for acceptance of all transgenders ... not just her.

Caitlyn's kids were there in force as she took the stage and joked about being judged ... not as a transgender, but as a woman who had to choose the right dress, hair and makeup.

It turned serious quickly, as she talked about the difficulties transgenders face ... but also the strides her community has made.

Caitlyn choked up as she thanked her children for their support, and the kids all teared up as they watched.

Her speech followed a 6-minute retro on the life of Bruce and Caitlyn, and the private struggles of someone who has led a very public life.

Ben Affleck may be separated, but in the marriage department he has something Jimmy Fallon doesn't ... a wedding ring still attached to his finger.

Ben gave Derek Jeter his award at the ESPYs and the ring was front and center. He's been wearing it lately, even though the couple announced they were getting divorced.

It was pretty funny ... watching the diehard Red Sox fan handing an award to his nemesis. Actually, pretty awesome.

Jazz Jennings, one of the transgender community’s youngest crusaders, is a massive Caitlyn Jenner fan and she's gunning to meet her idol tonight at the ESPYs.

Our photog caught up with the 14-year-old Tuesday in Bev Hills. She's in town promoting her new reality show “I Am Jazz,” but the highlight of the trip ... she scored a ticket to the show, where Caitlyn will receive the Arthur Ashe Courage Award.

Jennings was born a male but started her transition at age 3. Kid drops some serious knowledge on transgender equality.

Caitlyn Jenner has invited her entire family to be by her side when she receives the Arthur Ashe Courage Award at the ESPYs Wednesday night, with the exception of her 3 ex-wives.

Chrystie Crownover, Linda Thompson and Kris Jenner will not be attending the ceremony, and it makes sense. We're told Caitlyn wants her family there, and the exes are not family anymore. As one Caitlyn source put it, "Her ex-wives don't celebrate Father's Day. Fact is, they're just not her family, but the kids are."

And the kids will be there in force ... Kim, Khloe, Kendall and Kylie. Brody, Burt and Cassandra will also be at the ceremony, but Brandon is up in the air because his wife, Leah, is about to give birth. Caitlyn's mom and sister will be in attendance too.

V. Stiviano tells TMZ Sports she wasn't OFFENDED when Drake called her the "Side Piece of the Year" during the ESPYs ... she was FLATTERED.

Stiviano was leaving Villa Blanca in Beverly Hills ... when she told us the "Side Piece" shout out was "a very big compliment."

Funny, 'cause Drake certainly didn't mean it as one as he mocked her right before going into a song called, "Donald Sterling Never Loved Us."

Either way, Stiviano's biggest concern yesterday didn't seem to be the diss ... it was the fact she was getting into a Volvo ... instead of a Bentley, Ferrari or a Rolls.

Priorities.

They called him the "Jolly Green Giant" ... "Gumby" ... and "Walking Pool Table Material" ... but Kevin Durant had a message for everyone who hated on his ESPY fashion last night ... and TMZ Sports has the video.

Maria Sharapova is such a badass ... she hit the sand dunes BEFORE the ESPYs to sneak in a killer workout ... and we've got the pics.

The tennis superstar was out in Manhattan Beach where she ran up the sandy hills for about an hour ... showing off her killer abs in the process.

A short time later, Sharapova swapped out the gym clothes for a fancy dress and went to the award show -- where she towered over her co-presenter Floyd Mayweather in a pretty hilarious segment.

Drake threw a party after the ESPYs ... with a ton of celebs who drank and ate at one of the most outrageous estate's in L.A.

Mack Maine, Jessica Alba, Blake Griffin, Johnny Manziel, Colin Kaepernick and others partied at the home of Mohamed Hadid ... an L.A. real estate mogul who was once married to Yolanda Foster from "Real Housewives of Beverly Hills."

It's a 50+ million dollar compound that sits on more than 2 acres. The main house -- where Drake threw the party -- is 48,000 square feet.

It's no Versailles ... but close.

Chris Brown and Drake killed it with a comedic sketch at the ESPYs -- which is way better than when they were ACTUALLY trying to kill each other.

It went down like we called it -- after a long setup to establish the Breezy/Drizzy's beef … Drake ends up on an operating table where "Dr." Blake Griffin appears to be performing surgery … that is until Brown menacingly pops up with surgical tools ready to do the work.

Afterward ... Griffin and Brown were live on stage, where Chris introduced himself as, "America's Sweetheart."