Kim Kardashian -- I Scored the Only Selfie with Hillary Clinton!

Scour social media and you will find only one selfie of Hillary Clinton from Thursday night's big Hollywood shindig ... and it belongs to Kim Kardashian.

Sources at the event tell TMZ ... people were clearly warned not to snap a pic with Hill. But when Kim approached, Hillary's security broke protocol and stood down, with Hillary's blessing.

Our sources say the two talked about Hillary's plans for child care. But the take-away moment was when Hillary gushed over North, saying she's seen a bunch of pics and the kid is adorable.

Who can argue with that?