Jillian Barberie -- Rips Britt McHenry ... What She Did Was Horrible

Britt McHenry's getting no sympathy from fellow female sports media star Jillian Barberie -- who tells TMZ Sports what the ESPN reporter did was "horrible" ... and she needs a serious attitude adjustment, stat.

Jillian -- who worked on the "NFL on FOX" for 10 years -- was out at Craig's last night and told us she knows what it takes to make it in the industry and would NEVER have been so disrespectful.

"I think it's horrible. You have to be gracious," Barberie said ... "Be nice to the people that are helping you out."