9 is extremely young to consider rhinoplasty - your daughter has a lot more growing to do. Mid to late teens is a more acceptable age. Should your daughter decide then that her nose bothers her, by all means do your research and consider your options, but if it is not an issue for her now it's possible it may not be an issue for her later. Hold off for a while and see what happens.
I recommend waiting for the face to be completely , or nearly completely developed. This usually means around 15-16 for girls and 16-18 for boys. Hang in there.
Age 9 is too young for a rhinoplasty, as the facial features are not fully grown. Please wait several years before considering this option.
Facial growth should be complete before performing a rhinoplasty. This usually occurs in the early teenage years and Sooner in women than in men.