Wow, well I am starting to rethink. Take the antibiotics. But what are his plans for detaching
or removing the necrotic mass, it should dissolve ultimately> It is almost a battlefield wound, don't be afraid of his reaction. He probably doesn't see things like you have. To not give you something for pain is unconscionable. You heal better when you can relax with no pain.
If you go to the ER they will. It just takes time.
They may admit you. Not such a bad thing. You don't have a thing to prove to anyone. I think your wife will help make these decisions. Blessings....