After being posted to a Greenlandic prison for a temporary placement, a young doctor must help the inmates with their personal problems while dealing with some unruly inmates and unsympathetic guards

You know, I was thinking about that. I'll change it to an African-American bail jumper who ends up in Greenland, commits a crime there, and ends up in their judicial system. He must go through their unique judicial system and decide what he will do from there.

But the "Ninth Configuration" is set in an insane asylum -- not a prison. Big, big difference.

And "Killer Kane" is pretending to be a psychiatrist -- not a medical doctor. Another big difference. Is your protagonist a medical doctor or a shrink?

She could be the head Doctor? Has anyone seen Twinkle Twinkle Killer Kane? The main character in that is the head doctor, later you find out he is actually a patient.