Speaking in general terms, one of the biggest differences between male vs male and female vs female fights is that most females are much less concerned with doing bodily harm to the loser and more concerned with proving superiority, especially sexual superiority.
When I win, I want the bitch I've just beaten to admit in no uncertain terms that I'm more woman than her, and the more people who are watching, especially the more females who are watching the more emphatic I want her to be about it. I want to leave no doubt in her mind, and in the mind of any other female watching that I'm way superior to her.
Again generally speaking, if there are spectators, especially male spectators, there is less likelihood of the winner sexually humiliating the loser but it does happen.
The most extreme thing I've done was against a woman who did a lot of talking beforehand about what she was going to do to me. I made the bitch crawl to me and beg to kiss my ass and pussy. There were two other females present, one a friend of hers and the other a friend of mine, due to the fact that neither of us trusted the other enough to fight one on one with no witnesses.