I know, I hate this stigma! Especially because I live in a small town, and sometimes I would like to go out to eat or something by myself, but I know that if I do, I will inevitably run into someone I know, and I will feel weird because I think they are probably wondering why I am here alone. I think if I lived in a big city were I didn't know a lot of people, it wouldn't be as big a problem to go out to eat by myself, because I don't care if strangers think I'm weird.
It is less awkward if you take a book or a notepad or something so that you can at least look like you are occupied while you are sitting there.
If I'm shopping or going to the movies or something, I like going alone, and it doesn't seem like a big deal. I think lots of people do those sorts of things alone.
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Your Aspie score: 120 of 200 ; Your neurotypical (non-autistic) score: 90 of 200
You seem to have both Aspie and neurotypical traits
Self-DX: Extreme Introvert, possibly with ADHD-Primarily Inattentive; Official DX: Generalized Anxiety Disorder