What's Your Favorite Part of a Story?
As far as I'm concerned, the order for a very good story is beginning, end and then the fight itself.
The most important thing for me is really the beginning and how the rivalry/enmity started. It's a little boring for me when it's "just" playing in a tournament or something like that. I like stories that play in our world, but I really love stories that play in an imaginative world. This gives me the best opportunity to explain why the ladies in the stories behave the way they do.
The ending is also important. When one finally triumphs over the other, and after a perhaps long or short fight there is an undisputed winner. Now perhaps I should also note that at the matches I like there will be no more revenge at the end possible.
The build-up and interaction plays an important role in my opinion. Both of them feeling jealous of each other. Their thoughts about each other. Passing subtle insults during their interactions which slowly evolve into full blown trash talk which results in an inevitable catfight.
My opinion is the more good the build-up is the more interesting the fight will be.