If you don't have a planned system of progressive overload, when to deload, increase and decrease weights, then this isn't a program, it's a list of exercises.
You're hitting a lot of muscle groups, but I'd recommend looking into thefitness.wiki from /r/fitness or buying a 5/3/1 book (2nd edition or Forever)
Women can earn any of the "male" titles (FM, IM, GM)
Men cannot earn the female titles (all above titles but with a "W" in front)
It's not a fear that women will win. It's actually the opposite.
There are some women who only go for the general titles, typically citing that they find the women's titles as insulting to their skill level.
FIDE rating reqs for women master titles are also lower than their male counterparts