I wanted to. I tried to join the Army for Gulf War I and requested a shot at getting into a combat unit. I wanted to serve in a combat unit, and I wanted to engage in combat.
Unfortunately a hearing problem kept me out, to my disgust.
I'm far from the only one. Why do you think people volunteer to try out for Rangers, Recon, Special Forces, etc? It ain't because they want to sit in the rear with the gear.
Granted, I was young and gung-ho... but so are most recruits.
I don't see why there might not be some women who feel similarly, despite their relative lack of testosterone poisoning. I've known some pretty tough chicks in my time who didn't mind a scrap.