I want to share a bit of my experience here, because it is uncannily similar to yours. My whole life I've had no problem finding men I'm attracted to, and men I could imagine myself being in a relationship with, but the second anyone shows any physical interest in me I'm immediately repulsed. I'm not repulsed by sex itself, as you mentioned in your post I'm also fine with/attracted to certain sexual content, but I find the physical aspect of a relationship off putting. This means that I've never actually been able to date properly, since after the second or third meeting I'm usually too put off to see them again.

I think the most important thing is to ask yourself whether you want to be in a relationship, or whether you're okay with being on your own. I've realised that what I want out of a relationship, aka loyalty and companionship without the physical side, is not the norm for the vast majority of people living in the world, so I'm quite happy to remain single. If I were to find someone who shares these ideals, great. If I dont, that's okay too.

I've never been to counselling to address this question, but I just don't consider myself as having a "problem" per say. Yes it is a different way of living compared to the overwhelming majority of people in the world, so it can make you feel like you're doing something wrong or abnormal, but I know deep down that I'm happy, so as long as I'm not hurting anyone I'm okay with how I am.

Not everyone is the same, and I think the most important thing is to consider how you feel and what you want out of life.