Do you think it would be bad if I avoid my grandma and then cut off contact with her?
Do you have a special relationship with your grandma?
Yes, she was the one who took care of me after the death of my mother.
It's okay if something has happened that has made you angry at your grandma, but remember that she cares about you.  You should not be so rash as to cut off contact with a loved one over a temporary issue.
I just don't like when people bother me.
I'm sure she doesn't mean to bother you, she probably just wants to make sure you're doing well. If you stopped talking to your grandma I'm sure she'd be so sad and disappointed, because she clearly loves you. I think you should try to be more understanding.