I dont think a woman can properly manage conflict with or between men. I dont think they can deal with all the testosterone driven tension in a locker room. I think most womens first reaction to managing men is to try and "out man" men which isnt a good or sustainable strategy.
I saw someone mention the military and how the military has Female Officers but as
@concise put it, Officers get paid more and are considered more "prestigious" than those under their command, so they have the backing of the institution when conflict happens.
But even with the military, you almost NEVER see Women leading combat arms organizations (i.e boots on the ground combat). I think its the same principle of Women cant manage those types of macho organizations (at least until you get a generation of seasoned women in combat arms).