Hi there. I'm an autistic and I actually read people "too well". I won't get into it here but it's one of the things I'm most naturally skilled at.
The criteria for autism doesn't really tell the full story it's a bit oversimplified.
Definitely wise to discuss with therapist, ask them to refer you to be assessed. You should be passed onto a psychiatrist and possibly other professionals with a background in autism.
For me assessment wasn't that difficult you fill in a few questionnaires then you're assessed by autism specialists. But I have heard it can be drawn out and difficult for some people.
I think the biggest indicators of autism would be having certain specific topics you are exceptionally knowledgable about/skilled at (special interests), having some sensory issues (loving/hating extreme forms of the senses such as loud noises, total silence, flashing lights, bright colours, certain visual patterns like holes or materials) and having a fairly profound lack of understanding of the masses in certain ways. This can be popular music, popular styles, using slang, finding certain things appealing, certain viewpoints etc..
Best of luck though hopefully your assessment process won't be too difficult. You can DM me anytime you like.