I'm going absolutely bat shit crazy later when my mother tried shoving a phone in my face to FaceTime my uncle despite saying no multiple times
That's a little harsh. Why didn't you want to FaceTime your uncle?
I didn't want to talk to him, I don't get why she wouldn't accept that.
It was wrong for her to make you face time a family member when you didn't want to. You should tell her the reason why you don't want to talk to him.
Even if I don't have to, I have never talked to him. He is my uncle, but I don't like him and it's pretty obvious he doesn't like me.
I'm sorry your mom put the both of you into such uncomfortable situations. You have the right to your own privacy and she needs to learn how to respect that. How about sitting down to talk with her over lunch about it instead of blowing up at her?