I'm going to scold my classmate for non-contribution to our group project
It does seem odd. Are you really that angry with her?
No, It's just an excuse for me to show her she's not worth my time.
Everyone in a group project should contribute. That said, you shouldn't act like that out of spite.
I don't care. I want to break her down and show her what happens when someone doesn't do their part.
You are going overboard with this. It's okay to be upset but you shouldn't try to punish someone over a class project. If you really feel someone isn't doing their part you and your other teammates can complain to the teacher.