I am autistic and this is absolutely the kind of thing I would do trying to connect with someone to make friends and not knowing how to have a conversation with them or realising I am being rude until it’s pointed out to me.

There would be absolutely no malice, passive aggressiveness or judgement intended. It would just be finding a conversation starter and going with it.

However, the last part where she said YOU made HER feel uncomfortable makes you NTA. She made you feel uncomfortable and your reaction was justified.

If she is autistic then it sounds like a communication gap to me. She made you feel uncomfortable without necessarily intending to then how you retaliated made her uncomfortable without you necessarily intending to.