I will probably not say anything and meet up with the accuser, and then settle.
Then put out a statement that it's all false and the thing has been resolved after settling, because I know I didn't do anything wrong. I know that I did questionable shit like maybe scolding someone dumb for not being able to do a math question, but nothing to the extent which you can be called bullying.
If this doesn't work because the accuser still thinks I'm a bully, then fk it. Sue the fk out of that person because I will not tolerate anyone who tries to tarnish my reputation