Hello – Side effects with methimazole are most common during the first 90 days of use, but the catch is that the clock starts over if you are off the meds for a while and re-start them.
I would definitely ask your doctor or pharmacist about the reaction that you are having. The medical guidance says that for “mild” skin reactions, you can continue to take the meds in combination with antihistamines, but a medical professional would be best suited to tell you if a reaction was “mild.”
A doctor can also help you sort out whether hyperthyroidism itself might be contributing to the reaction, as this can happen in some patients.
Take care!