But that's life though. Even when you get a job there are people that you don't get along with, but you still find a way to make it work. If you would just move that student to a teacher that they preferred, might instill wrong perceptions of reality in the kid.

They're both humans. Humans can talk and reason, why not use that to try and solve the issues?

Edit: Feel free to down vote, but I'm of the opinion that adversity builds character and even more, it makes you into a person that people can rely on in tough situations. I know that parents these days want to make the lives of theirs kids so smooth that they'll never see a 90° degree angle in their life, but that's just not how the world work. At least the majority, I don't know how it's in US and huge cities. I'm from a village where everyone knows everyone.