>>64469263 (OP)
You have options:
1. .22 LR rifle. It can be a lever gun, bolt gun, pump gun or semi-auto gun.
2. Shotgun; some people buy a lightweight .410 and watch their kids hate it (small shells have less shot). Instead, you can buy a 5-pound 20-gauge or an 8-pound 12-gauge and buy low-recoil/light loads. I promise you they'll have more fun that way.
3. pellet/BB gun; if she's extremely young, you can start working on her marksmanship with something that shoots cheaper ammo. Those guns can still kill small animals, so she should still follow gun safety.
4. Target handgun; Assuming they already learned on the ones above or are becoming teens, you can start them on the hardest gun to master, the pistol. Something with low recoil like a full-size 9mm, or even better, a target .22 LR gun (Ruger MK IV, Colt Woodsman, S&W Victory, Browning Buckmark, etc.) can help them learn fundamentals quickly.
