Right, if you are going to teach your 9 year old to shoot (which I don't agree with since it was a little girl), at least do it yourself. Forget the instructor. You need to make sure she doesn't hurt HERSELF. No way I would let some guy show my kid (if I had one) how to fire.
I started at 12, with a family member, and in a closed range.
9, girl, open range, auto...not the best idea.