I don't know if Internal Medicine means something different when it's spoken of as a part of the hospital, you would have to get some feedback from some of the doctors here. It could mean she's stable enough that she doesn't need the higher level of observation/care of an ER.
I go to a practioner of Internal Medicine instead of a General Practioner... by choice. He was recommended to me by a friend, and he is the best doc I've ever had.
The textbook definition:
Internal medicine - Wikipedia, the free encyclopedia