Trial by combat 1

2 middle-aged mature woman would have a fist-boxing duel in front of public,

they have disputes about something, so college people agreed on "Trial by combat" that was legally effective trial.

I don't know exactly why they fight

Maybe love triangle affair?
So winner of the boxing would have the man exclusively??

or 2 madams of pubs that have territorial dispute about commercial rights? 
If 2 pubs are too close in location, that is possible