A young woman who prefers the friendship and company of gay men, despite being able to easily have a steady boyfriend (and usually doing so). Contrast "fag hag," which usually carries the negative connotation that the woman has ulterior motives or somehow uses gay men as a substitute for a steady relationship.
Boyfriend: Why do you have all these guys in your phone?
Girl: Don't worry, they're all gay.
Boyfriend: Oh - you're a Gay Boy Bunny! I see.