It sure sounds like an infection. The prednisone and Medrol would reduce swelling, but would also suppress your immune system allowing an infection to get worse. Whatever infection you have, the antibiotics you have taken so far were insufficient to kill it.
Try going back to your doctor and ask about getting some blood tests done for strep, staph (MRSA), meningitis, and any other possible tough-to-kill bugs your doctor might think of. You should have those results in before your ENT appointment, which will make that appointment more productive.
I would not take any more steroids if I were you. If it gets intolerable or you develop any frightening symptoms or a fever, go to urgent care or the ER and tell them your symptoms and all drugs taken so far.
allergies to something maybe an animal