I can answer this with surety
I had an accident once, burnt my bangs to a crisp, they stank!
So I got out a bic and some shaving cream, and got rid of every last bit of hair on my head.
I kept it shaved for two years, even have a tattoo on either side on my skull (can't tell now though, long hair and all).
If my hair were to start thinning/falling out, I'd do it again, and I'm female.
Definitely takes a bit of self confidance.