I think emailing the manager was a bit much, but the male nurse sounds like one of those lazy nurses who is always concerned with what other people are doing, what their workload is or what their work hours are. It wasn't his business.
OP, I think you handled him just fine, nosy types like that hate it when you don't play along. Again, I think emailing the manager was a bit much, I'm quite sure she knows just how poor his manners are and how lazy he is. Unfortunately, people like that usually know how to game the system and they are often protected by management.
Just be happy you don't have to work with him all the time.