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Dear Dave,
I think it would be best that you await elective treatment of allergies until the thyroid condition is resolved and you no longer have to be on the inderal.
In general Inderal is the best drug for your palpitations from the overactive thyroid, however, even the alternatives lower blood pressure to a degree that they too would be a concern for the immunologist who will be administering the immunotherapy.
My advise above should be discussed with the doctor who placed you on the inderal as well as the doctor who is treating your thyroid disorder (if they are separte doctors.)
I hope this information is useful. Information provided in the heart forum is for
general purposes only. Only your physician can provided specific diagnoses and therapies.
Feel free to write back with further questions. Good luck!