To be fair, when I first answered the question the student part hadn't been mentioned. It looked like a new intern who had been allocated a mentor and she was being creeped out by him.
So when I shaped my answer, that was the path I took with it. However, shortly afterwards she indicated that she was a student and that he was a mentor that I had assumed was allocated by the university and who had been recommended by a friend. I added that to my answer, but my advice remained essentially unchanged.
It since fell out that there didn't seem to be any relation to the university or a professional workplace environment. This changed everything with regards to the contextual relevance of the question, but not the advice I gave which still applies to the workplace.
If the question were to be reshaped as a generic "workplace mentor creeping me out" type of question, then yes it would be on topic. As it reads now (and even though I'm the most upvoted answer), I would say that it is not on topic for the community.