Let go of this 'normal' concept. There are no rules or guidelines (except the law) regarding what we 'should' be like, as people, so, unless you're breaking the law, you can be as weird as you like, and still demand full respect in a relationship. Or friendship. Or any area of your life at all.
After all, do you want a relationship you can call 'normal' at the expense of your own happiness? Or would you be thrilled to be in a relationship that dispensed with 'normality' and made you really happy, with full acceptance of the unusual aspects of your personality?
I'd bet my piano that the only thing wrong with you is that you think there is something wrong with you.
It's time to take responsibility for your own boundaries. We all have different boundaries; as I said, there are no rules, so you can put any emotional boundary anywhere you like. You are in charge.
Here is everything you need to know about boundaries, and once you embrace it, you can forget wishing you were normal, and you can forget not knowing how to behave in a relationship, and you can forget being treated poorly:
If somebody does something and you don't like the way it feels, tell them. If they keep doing it, distance yourself from them, because that behaviour is more important to them than you feeling ok. Get closer to people with whom you have pleasant emotional responses.
That's it. That's everything you need to do to stop yourself being taken advantage of/getting into abusive relationships. It's everything you need to be able to let go of the concept of normal, which means you can stop criticising yourself for not being 'normal'.
Fuck normal. I'm not NT either and it's totally irrelevant when it comes to relationships. Nobody is normal. Normal is an external locus of evaluation, and you're trying to use it to navigate an intensely personal, internal terrain. Essentially, you're using the wrong map. Your feelings are signposts, not pesky annoyances that single you out against the rest of the world. Listen to what they tell you. Follow where they lead you. Go where you're happy, and make a distance from people/places that make you unhappy.
The only part of you that is broken is the part that's meant to respect your feelings, and you can fix that right now. You don't feel you can trust this guy, and he makes you feel shit for that. So pull away from him. It's as uncomplicated as that. I know it's not easy, emotionally; that's not what I'm saying. But in terms of being clear about what you need to do, it's that simple.
Being different from everybody else is not a failure in you. You are not broken.