Does it have to have a 3-4" barrel? The "newbies" I've taken to the range have all opted for a fullsize 9mm due to felt recoil, etc. Another note is that on some of the smaller guns, the slide is harder to rack than on the fullsize guns (not that that can't be overcome).
I have or had the following 9mms:
Glock 26, 19, 17, 34
Browning Hi Power Practical
Beretta 92 Elite, Elite II, Stainless Compact, Custom Carry, Custom Carry II
CZ 85 Combat
HK USP Stainless Compact, Stainless Fullsize
Sig P226
Walther P99
Colt 1991A1 9mm government
Springfield 9mm fullsize and 9mm ultra compact
Some of the above are fullsize, some midsize, and some compact. There's so much to choose from. I'd suggest that you take your daughter to a range that rents a wide variety of 9mm and have her try some out (if that's possible where you live). There is a big difference in the felt recoil/muzzle flip even between those 9mms that I have listed. I have some female friends (considered new shooters) that did not (and still don't) like the Glock 26 because of the small grip and muzzle flip (perceived or real, it doesn't matter to them....they just don't like it).
Another thing to consider is the type of trigger/safety systems she'll feel comfortable with. Glock type trigger, SA/DA with decocker only, SA/DA with decocker and manual safety, DA only, SA only (cocked and locked), SA/DA with safety (cocked and locked) ....hope I didn't mess up with those examples. These examples fit at least one of the above listed guns with the exception that I've never owned a DA 9mm pistol.
Good luck.