. . . . . . good girl vs bad girl, rolling (catball), hairpulling catfight? It may not be everyone's taste, but for those who like the idea, here are some specifics.
The good girl gets much the worst of it but courageously fights to the bitter end, no matter what she must endure. She never gives!! If settled by a panel of judges (awarding the win/points) they'd clearly have to call it for the bad girl. If there has to be a verbal submission though it's a different story. There is no admission of defeat.
Does the good girl win by bravely refusing to concede? Or is it maybe a stalemate? Then after a particularly vicious brawl they each go their separate ways, on bad terms, and have a rematch later.
Any celebrity from any time, and (ideally) at her/their peak.