I am new nurse and it took me a long time to get here and a lot of work. Had two previous careers that paid more (hourly) and had better hours. Would I do it again? Yes!
Why? It's interesting. You will never have the same day twice. Prior to switching to my nursing career I was a science/math teacher and for 5 classes a day I would give the same lecture to each group. And worked in a pharmacy typing the same drugs in over and over again. My brother is stationed at Luke AFB as a jet engine mechanic and he says it is very repetitive.
For your math skills and chemistry... you should understand basic concepts when taking chem (acids/bases (Ph scales), ions, electrical charges (electrolytes), measurements). Math, you would need to know how to do medication calcuations, conversions of units (lbs/kg), mostly dimensional analysis. They will teach you in nursing school
what you need to know, for most part you will just have to do it in school, then use online calendars, double check your math with other nurses or the pharmacy.
Get use to the question, "Why don't you become a doctor?".
Not sure my gender has helped me get a job any sooner then females or if I will get paid more. I have heard that in the past from other female nurses, I just haven't seen that practice. It is a struggle to find a job (like any industry at this time), but once you get your first year of experience it will be easier. It took me 5 months to land a job, but I know a lot of people that are jobless in other careers and have nothing on the horizon.
Plus another reason to go into nursing is better pay then the Air Force. Good luck.