I’ve done Judo. Being one of those aforementioned 120 pound folks, I usually got matched up to spar with some of the ladies in the class.
Sparring is one thing, but a match? They have girls and guys split out in Judo for a reason. Sparring is all about training and control.
Strikes are a different story, in that you're looking for a knockout or technical. I wouldn't engage in a match with a female if striking was involved, and strikes and grappling are two wholly different things in my book. Punching a girl in the face isn't the same as going for a submission, a pin, or trying to score points.