RE: i should be beaten for this
Keep looking.
You may have hit the deer through the chest/neck/throat and blood is just coming out her mouth. This happens with lung shots, stomach shots, neck shots, etc.
Good luck finding her.
PS, I'm sorry you made the mistake. It sounds like you've learned from the experience, and that's a good thing. When I track deer that I know have been hit, I always go after them with a 12 gauge and buckshot. I've never had to use it, but believe it would be great for finishing a wounded deer that I jump while searching.