I spent yesterday afternoon in the emergency room of the local hospital and took the opportunity for a little research into the boundaries between Physician and Surgery. Spoiler for possible Too Much Information about my injury:
The work was done by one of the duty doctors, rather than a nurse or a physician's assistant. I asked what made it a doctor's work, and it seemed, in GURPS terms, to be because there was a Surgery task to remove the fingernail, rather than just cleaning and stitching. It was pretty simple surgery: probably at +2 or better, given effective local anaesthesia and a well-equipped emergency room.