I say go for it as long as mom or dad will agree to supervise her with the machine until your sure she really understands how to use it.
My suggestion, go with something fun and simple. I think the Hello Kitty machines are darling. But, I would read up on the reviews first. And, a cute little FQ bundle and a spool of thread would be a great addition. I would buy a machine with good reviews. But, I would stick with a simple inexpensive machine to start with. After all she's only 9. Interests can change. Or, they could grow and you will have a little quilty partner in crime and will eventually want something really nice. Good luck and have a great time looking and testing what is out there.