This does not sound normal to me at all. It sounds like he is being pushy and creating more harm than good. Most importantly it sounds like it is damaging to you. Regardless of if it is helpful for other people, or normal to other people, it sounds like it is making you uncomfortable. What stuck out to me is that you stated that you tried talking to him about it and the situation did not change and you described him as "creepy".
You are entitled to a therapist that is a good fit for you and not all therapists will be. That's okay. Have you thought about changing therapists? are you in a position where you are able to do that?