Cool.
I'd be unlikely to carry a gun, but having one in my apartment could be a good idea. If I could find a good gun safety course in the area.
I bet some of the regulars on this thread would be happy to advise on a good gun for a young lady...
If you wouldn't plan on packing it, I'd get you a bigger heavier pistol like this one for the first gun, because the heavier the gun, the less it kicks, and the more accurate you are.
Later, when you want to wear it, you can try the little snubby lightweight guns or semi-autos ;~D