Paveway,
Great job with your daughter!!!
My wife already has confidence with general shooting ability. One of the more recent times we went shooting together, she surprised me by putting the target out to 15, 20, and 25 yards, and hitting it with her XD9.
It is just the recoil/noise/muzzle blast issue. I now have her (and me) doubling up with earplugs and then electronic earmuffs over the plugs, which really cuts down on noise while still permitting normal conversation. Gloves may help, but she won't have gloves in the real world.
Also, with really small autos, I think having her hand that close to the moving slide makes her nervous. She knows to put both thumbs on the same side of the gun, and knows that rubbing against the side of the slide is no big deal (my thumbs are both on my slide every time I shoot), but it still makes her nervous, which I think was a big problem with the Kel-Tec P-32.
I can see the Tomcat having potential here.