However, focusing on education at university level, the student sometimes has more power to choose a teacher here, teachers can't do anything, an educator is supposed to be objective.
The part about an educator being objective is an ideal. There are teachers out there who are unfair, biased or even want you to think in a certain way.
It's true what you say, that's why I say an educator must be objective, it doesn't mean that this is fulfilled, in fact I don't think it is ever fulfilled, but an educator can't choose his students either, that would be a very exclusive system.