Needless to say. The bully is not so brave now.
Could you elaborate a little bit about what happened/what that means?
Also, I saw your earlier post just now and your comment about not being a part of any protected group. That's not exactly how it works. Everyone is. Everyone has a race, sex, national origin, etc. As an example, if a workplace gave all women a paid day off for International Women's Day and didn't have some equivalent for men, that would be illegally discriminatory against men. That may not be common, but that doesn't make it legal.
That said, if those protected classes don't seem to be the basis of how your coworker is treating others or how your company handles it, it's probably a non-issue.