Mr. google says that's very rare but possible, however more likely to be other kind of parotitis (mumps = epidemic parotitis.) Anyway you'd really better see a doctor. Please take care of yourself.
hmm... according to Wikipe-tan, other kinds of parotitis will heal naturally within a week or two and there's no radical cure anyway. Only cooling, warming, rehydration and painkillers. Maybe that's why your doc weaseled.
But please don't believe my smatterings! See your doc again if you keep on feeling bad.