Injured black-capped chickadee?

I found an injured black-capped chickadee this morning. It holds its head to one side, is hardly able to stand and cannot fly. It acts like it has some neurological damage. I'm thinking it might have flown into a window. I have already tried taking it to a rehab center and they said they wouldn't do anything to treat it. I have gotten the bird to eat and drink for me. Could it recover?