Well they did it. Dr. Nadolski removed my right wisdom tooth (the one on the left in the picture). It wasn't as bad as I thought it was going to be, but I suspect the freezing hasn't entirely gone away yet, so the best is yet to come.
According to my wife, the receptionist said the procedure should have been done at the hospital, once they saw how bad the situation was.
Anyway, in a few days everything should be close to normal again.