I'm partial to Rugers and generally prefer revolvers for simplicity and reliability. Depending on how she's going to carry it and how comfortable it fits her, I'd agree with others on the LCR or LCRX (hammer) or, for a semi-auto, the LCP. I'd also consider putting a Lazermax on either to really make aiming and shooting easier for her. There are nice lite loads available in either .380 or .38 if needed.