Have your daughter use a gun thats suitable for her size and ability. At 7 yo its hardly a .22 LR. As she grows change her rifle to whats suitable.
As for the CF a .243 would be ideal for a long time. When she gets big enough she can use heavier calibers. The .243 would be ideal for varmints as well and suitable with 55 gr bullets started slower for a while. When I was a kid I shot small animals. Thats how we usually start.
