Hello, I just noticed your post. Could be wisdom teeth but the smell would be from your mouth as well. I am usually on th b.o. sites and have read stories about people solving horrendous fecal Body Odor bu curing nasal or mouth related illnesses.
One guy was cured when a Dr realized he had candida in his throat and gave him antifungals. His Dr scoped him to see that. Another person was cured by removing tonsil stones. The last person I could think of had an infection in his upper sinuses and did a painful Grape seed extract and saline nasal douche. You can look through the Body Odor page for these stories and google the douche if you want to try it. Very painful though, be careful.
Good luck, hope this helped.