As Such No Direct connection between your
thyroid and Irritating cough but I would advise to get USG NECK & THYROID PROFILE TESTS to be repeated and subsequently lowering of the dose is advised .
Next Steps
USG NECK
Free T3
Freet T4
TSH
FOR COUGH
CBC WITH ESR
S.IgE
Chest X RAY PA VIEW
Health Tips
plenty of fluids
home remedies for cough