A lot of people have allergic reaction to fillers, binders and/or dyes in the medication. Once you stop taking the medication and it's out of your system it won't cause allergic reaction.
"As with any medication, Synthroid can also cause allergic reactions. Seek medical attention immediately if you develop signs of an allergic reaction, including:
An unexplained rash
Hives
Itching
Unexplained swelling (especially of the lips, mouth, or throat)."
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Studies report that as many as 57.4% of patients with hives (urticaria) have the presence of thyroid antibodies.
"In conditions of chronic urticaria, thyroid antibodies are not only indicators of chronic inflammation, but they appear to play a role in the disease process. In most cases, improvement of urticaria with thyroxine replacement hormone suggests that chronic thyroid inflammation may initiate a hypersensitivity reaction and an underlying thyroid hormone deficiency.
However, rarely, patients with chronic urticaria have undiagnosed conditions of Graves' disease. Researchers in the UK have reported two instances in which patients with chronic urticaria and TPO antibodies responded well to the anti-thyroid drug carbimazole." - Thyroid Peroxidase Antibodies - TPO Autoantibodies and Their Significance by Elaine Moore.
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"In about half of patients with chronic idiopathic hives, the explanation is that body's immune system is, in a sense, overactive. The urticaria is "autoimmune". The immune system is attacking the normal tissues of the body and causing hives as a result. We know certain urticaria sufferers have other signs of autoimmune problems. Some have autoimmune thyroid disease, vitiligo, swollen joints, or certain abnormalities in the blood (especially the ANA test).
A new treatment has recently emerged for autoimmune urticaria. This is the use of hydroxychloroquine, a drug originally used for malaria. In a clinical trial 83% improved or cleared completely when used for three months or more." - American Osteopathic College of Dermatology - Urticaria