Can I avoid my cousin because she has autism?
What would you avoid your cousin just because she has autism? It seems like a bad idea.
I just don't want to hang out with someone who can't talk to me properly
It is not your cousin's fault that she has autism. You should do your best to connect with your cousin, since avoiding her just because of her disability is very mean. She is a person and has feelings as well.
I'm not really sure about that. She should just be kept away if she can't communicate.
That's not funny. You should really get that thought out of your head because I know you are generally a really nice and caring person. Your cousin always says how wonderful you are, so imagine how she would feel knowing this is what you have in mind.