As you requested my suggestion for a gun not a website
(which is a GREAT site BTW if she hasn't seen it, yet) are based on the assumption that she has relatively smaller hands than most guys, recoil sensitive and not very experienced (if at all) with a gun. Sadly, this is typical of most (but not all) ladies when they get their first gun. All that being said I would say any of these would be a good choice, if they fit her hand and overall size requirements.
Full Size:
Springfield XdM in 9mm. The M series will have the asjustable backstraps to allow better fit than the regular Xd. The original Xd is also great and if it fits her hand then you will have more barrel length options.
S&W M&P series in 9mm. For the same reasons as the XdM. I prefer the Xd/XdM series ergonomic design better and seem to have a natural point of aim. FWIW the M&P has adj. backstraps on all of its' versions.
Midsize and Compact:
I am a big fan of the Kahr line of pistols. Go with 9mm for least recoil and highest capacity. The make both steel and polymer framed versions of all their guns. Buy the steel to tame recoil or polymer if she can handle
the recoil well enough to make a good follow up.
Revolver:
S&W J-frame. They seem to fit small hands best of all the models. Barrel length is limited to pretty much 2" or 3" length. Stay away from magnum loads. A .38spcl is a proven manstopper. They make frames out of many different metals. Steel is best for reduced recoil. These guns are harder than the others to become profficent.
Pocket pistol:
Ruger LCP. This is the only mousegun which I've had positive experience. Sorry, KelTec fans but my P32 was a POS32, but I have heard they are better nowadays. This is hard gun to master and not something for a first time shooter.
Good luck and let us know what you decide.