If the purpose of the firearm for range and HD, get her a solid steel 3 or 4 inch revolver that is .357 capable. You can then load to the person's comfort level (gotta love revolvers). If range only a .22 revolver or auto would be best.
However if for carry daily, two people said it best above:
Keltec P32 - Easier to rack slide (2 pounds less recoil spring rating over LCP or P3AT), less kick, cheaper/available ammo and here is the important part, the slide stays locked open on empty mag so mag changes are easier if she does have a hard time racking it and ever had to reload under pressure (which is why my sister in law carries one).
J-Frame - Airweight, yes, I know, more recoil. Load it lighter then as suggested above, which in my opinion is better for carry than buying a stainless snub for toting daily and enduring 6-10 more oz. of weight every single day. As far as the trigger, please, people find a decent local smith and invest the 30-60 dollars to have some trigger work done. It is well worth the money!
Either of the three options above have lasers available which makes life much easier, especially for those who cannot or will not practice often.