I've got Ruger SP101 in .327 Mag, and I believe it or a J frame would be an excellent choice for your daughter--as long as she likes it, of course. Here's why.
When you light it off with 100g Federal JSPs or 115g Speer GDHP, you know it's not a .32 Long wadcutter! The recoil is not painful or anything, but the flash & blast are perhaps like a .38+P or so. The Federal 85g Reduced Recoil JHP is very noticeably milder. Milder still is the .32 HRM. And when she's beginning, load it up with factory .32 S&W Longs for a very mild load.
Let me admit here that I almost spoiled shooting for my older daughter a couple of years back, when she was about 16, by having her shoot Airweight 637 and 642 with ammo ranging from Fed 110g Reduced Recoil & Winch 110g STHP up to Winchester 130g +P SXTs and Fed 129g +P Hydra-Shoks. My wife and younger daughter didn't like 'em in those ultra-light guns, but weren't as rattled by the experience as elder daughter, who became flat-out scared to shoot anything starting with a "3" after that. She was still fine with a .22.
Well, dummy here finally had a smart idea, and swapped the Airweights towards a S&W Mod 30-1 in .32 S&W Long and a Ruger SP101 in .327 Mag. Both are steel frames & heavier than the Airweights. Both still fit my girls' hands well (an original consideration for the Airweights). After I swapped out a couple springs to lighten trigger pull for her, older daughter quickly got comfortable shooting the factory .32 Longs, and we moved her up to a handload featuring a 115g LFP at 770fps--it'll punch thru 6 milk jugs of water, as I've reported elsewhere. She is not ill-armed with that 30-1. And a .32HRM handload moves the same bullet at 979fps from the Ruger, which wife & younger daughter have fired.
I'm almost finished up gathering a bunch of Mods 32-1 and 33-1 in .38S&W to standardize everything for my girls, though, and will load this old cartridge up to near .38SPL for those who can handle it, or milder for older daughter if necessary. These guns are same frame, width, etc. as the 30-1.
Sorry to bore with the details, but wanted to show that the .32SWL can be beefed up, as can the .32HRM if desired. The .327 IS INDEED beefed up. It is VERY versatile. And according to those who have a lot more experience than I do, anything .32 with a flattish nose is more effective than any .22. And any .22 is better than nothing, by far, and will keep most BGs looking elsewhere for someone to bother. We men have gotten so interested in ballistics that we often get too far away from the basics. :-)
Best of luck with i!