When you ask for opinions, you will get a lot of them.
I've trained a lot of women to shoot, as I am an NRA instructor. Here's some things I've learned over the years (and this applies to non-gunny women, not championship shooters):
1. When a woman needs a pistol, she will be afraid and nervous. She will not remember how to work a semi-auto.
2. If the pistol has a safety, she will forget how to work it.
3. If it is carried without a round in the chamber, she will not be able to load it.
Therefore:
1. Get her a .38 revolver. No safeties to remember, no slide to rack, just point and pull the trigger.
2. Let her practice a lot with mild .38 wadcutters. Then load it with good quality JHPs.
3. If she likes "pretty", get her a stainless with nice grips.
I know that for gunny guys like those on this board, a .38 snubnose isn't very exciting and is actually boring. But that is exactly what a woman needs in a firearm. Boring and simple.
When she goes to the range with you, be sure to make the trip pleasant. Make sure she has good hearing protection, mild loads to shoot, target close and big so that she does well, and let her quit when she is ready.
You will only get one chance to do it right.