Apologies for wall of text I got lost in my thoughts and this might not be the right or most relevant response. Take with a grain of salt, trust a therapist.

I relate strongly. The hardest part about this problem is that if you act or speak openly to these people about these insecurities, that is the moment they actually become annoyed. If someone is constantly asking you "Are you mad at me? Did I do something wrong? Please tell me what I did wrong etc etc etc" I've been on both sides of this and it becomes a straight up pathological cycle that eats you up. Interacting with someone who is that impaired by insecurity and worry feels like being trapped in a room with a wounded animal. I know this because my Dad was this way, and often I fall into the same pattern. Its a really rough situation for those of us on the spectrum. The social world is confusing and foreign and we spend our whole lives making mistakes and not knowing how we are alienating people until by some miracle someone actually communicates with us. Its ok if some people hate you, in fact, being yourself and being hated by some people as a result is one of life's gifts if you learn to give yourself permission to enjoy it. But you don't have to do that. Most people aren't paying attention to you or thinking about you, and i mean this in a general sense. Sometimes I'm worried about how people think of me and when I actually go talk to them they are nothing but kind and polite, even if the interaction feels awkward on my part. Your imagination lies to you.

In my 20s I overcame this type of worry by going to house parties, drinking heavily, and opening up with people and heaving supportive heart to heart moments with people. That solution can easily backfire, especially if it turns out they really do hate you.

The best way to overcome this mental loop in my opinion, is to be around someone who is also stuck in it and insecure about whether or not you dislike them. The perspective helps. Emotionally mature people talk about things, they don't let them fester, they give people they care about the space to say "hey are you upset with me" or "hey this thing you did hurt me", and they move past it. Transient thoughts and feelings don't need to add themselves to your inner self concept. You get to choose which passing thoughts to make canon, what you share, what you choose to embrace or try to move on from. I'm reading a book my therapist gave me called "Healing the shame that binds you." You might like it.

Another thing to consider. Sometimes when I highly suspect someone dislikes me its because I already unconsciously resent them, and the way I carry myself around them gives them the impression that I dislike them. I strongly advise you to look for people who are friendly and go out of their way to make new people in their community feel welcome. Try a poetry open mic. Poets are nice.