Anyone is capable of inflicting really bad damage or injury to anyone else, it goes without say .
What is in question is the level of damage or injury that each fighter is willing to go to.
Naturally the power a male carries will make it easy to say they do or cause more,but it's a different mental outlook I feel.
Women while powerful in our right, carry that defense mechanism or maybe better put common sense that helps us on the average not be quick to jump into a fight,while it can be argued the reasoning I truly feel it is the fear of what 2 women will do to one another once that line is crossed and facing a fight is accepted internally, once 2 women enter a conflict and get past the emotional roller coaster of which,fear,hate,jealousy,thrill,and more charge their adrenaline , any 2 women will use anything,everything they can to not just be the victor,but we have a hidden "need or desire" that comes out to damage the other woman's beauty,self respect and confidence,we want ensure our rival will not come back for more.
I am sure the men can answer their part better,but to me the male fights I have witnessed it tends to end on it's own more quickly and with more consideration of how bad it can get.
I guess in a way it's a funny thing,2 men will fight at the drop of a hat over nearly anything,while women I general will try to avoid it ,yet once it begins men end it fast and somewhat respectful while women will dig nails bite and pretty much try to ruin each other , tickled spiecies we humans for sure