Hello and welcome! Hopefully, others who have had to deal with this issue will jump in here and share their experiences.
In general, pinpointing the cause of a rash can be tricky…some patients do have this type of skin reaction as a side effect from anti-thyroid drugs. However, in other cases, the skin issue is actually caused by the hyperthyroidism itself and will resolve once thyroid levels are stabilized. Hopefully, you will see some relief soon.
Take care!