My big concern here is that allowing a kid to get a nose job in response to being bullied is that you tech kids that there's something wrong with not looking exactly like everyone else. It reinforces aesthetic homogeny and the (terrible) idea that if someone dislikes something about you that you should change it. When you're 14, you get teased. Everyone does. Kids are evil little things and that's not to say that it's ok, but there are different (and less invasive) ways to fix a bullying situation that will improve a child's character rather than their face.
"I am not worried that your son will grow up to be an actual ninja so back off."