I don't want to be friends with an annoying person who has no other friends
Why don't you want to be their friend?
I just don't want to be friends with that kind of person.
You shouldn't stay friends with someone who treats you wrong. You shouldn't have to stick around with them.
They're the most stuck-up person I've ever met. I don't want to do anything with them.
You're free to choose your friends so it's cool to end your friendship with them if you think they're annoying. You better hang out with like minded people.