First, even a month after the Newton tragedy, it's a terrible idea for an aspie to say such things.
Second, confront her about it. She's obviously extremely ignorant on the autistic thing, and rather arrogant too.
Third, since when can't men and women be friends? I'm great friends with 3 girls, and one of them I do have a crush on, though it's impossible for me to be able to ask her out.
I think the girl is trying to find excuses to get rid of you, and pointing out stupid things, and so I don't think you'd even want to be friends with someone like that. She seems like a horrible person.
Like I said, you should confront her, and tell her why it aggravates you.