I am also a bit surprised about DavidtheGnome stating the PX4 is a hard recoil pistol. No way, IMO. Actually much softer than a G17-19 or HK USP Compact, or XDm Tactical, to mention a few polymer pistols I've shot.
Now my two cents in. If you want low recoil, you want a long barrel and a heavy platform. That strenghtens your choices to Beretta 92, CZ75 or a 9mm 1911 as some other posters have suggested, or some SW models (I'm not so familiar with Smiths). Mind your daughter's hands size, the 92 has a thick grip. The CZ too, perhaps not that much as the 92, but then, with a PX4 (which is the only polymer one I'd reccomend in your case, due to its low recoil) you get three different backstraps to fit your daughter's hands.
In terms of perceived recoil, for me the CZ75 (particularly a SP01 or SP01 Shadow) has the edge. The 92FS and PX4 (full size) would be trailing her closely. Between the 92 and PX4, my impression is that the PX4 has a more snappier recoil, but gets back on target faster, and the 92 has a softer recoil (heavier pistol, longer barrel) but has a slightly slower action and gets back on target not as quickly as the PX4. I carry a 92FS on duty on a daily basis, but my CC and HD pistol is a PX4. I am, though, so fond of CZ's and can't wait to get one (a Shadow, preferably) which would be exclusively a range and IPSC competition pistol. In terms of trigger pull, the CZ wins again. Right after would be the PX4 and the 92 in third position. Long and heavy trigger pull in Da, and the stiffest SA pull of the three.
In short, if that pistol isn't gonna be CC:
- CZ75
- 92FS
- PX4
Provided your daughter can hold the first two comfortably. Otherwise, PX4 hands down.