Does a public university have the right to prohibit someone from a particular program based on their personal beliefs? Is that a violation of the first amendment?
Well, if that student is trying to impose those beliefs on others and those beliefs violate the code of ethics of the profession she’s trying to join, then yes, the school has the right to prohibit the student from the program. Would it make sense to keep someone out of a program if they refused to counsel black people? Immigrants? Christians? I would think so.