Yes you should you should bring up the fact you have autistic symptoms and you think you might have autism although I think you have to get diagnosed with not a therapist someone else

You can talk to your therapist about it but they might recommend you see a psychologist. If you want to skip a step, research the best psychologist and book an appointment. Give your reasons and ask for testing. If they deny it (which they do a lot sadly) then ask them to put it in your medical notes that they denied the testing and a reason why they denied it. This usually makes them backtrack and it's easier to work with them.

Hey! I just wanted to say that I saw my therapist today and I brought up that when I was originally researching ADHD I also researched autism and that I was curious about it. Then she asked me kinda what things I think I do/experience that fit the criteria, and so told her. Then she said that we can definitely keep discussing it, and it seems like I will maybe do tests or something. Good luck!!! It will be okay<3