Looking at Wikipedia (which I'm sure you've done), they rate the separated shoulder by the number of tendons and ligaments involved, with non-surgical treatment recommended for the more mild cases, and surgical treatment for the more severe cases.

Actually seeing an orthopedic specialist might help you decide which group you fall in. I'd probably skip the family practitioner/GP, and try to directly get an orthopedic consult. Keeping in mind, of course, that surgeons look for surgical treatments.