I mean, if she ends up hanging out to watch shows with you it sounds like you did a great job! Doesn't take away the internal anxiety of social interaction, though, I feel you as I struggle with that myself. I think it can be helpful to ask questions about the other person, people love talking about themselves lol. Ask about what they've been reading/watching, how was their weekend, ask exploratory follow up questions, etc. If she's a communist, maybe she is super passionate about it and that can be a conversation starter. I really like to talk politics and social justice with people, but that's not always "appropriate", but if you find someone who is down you can probably talk for hours about it.
Sorry if this is obvious stuff, I'm neurodivergent and some of these things don't come naturally to me