Talk to Gynecologist on Hyperthyroidism

Before pregnancy my TSH was normal. (In june) When i concieved with twins in August i had severe vomitngs (Hypermesis gravidarum) Due to severe vomitngs Dr conducted my TSH n it results Hyperthyroidism. Pictures are attached before n after. Now endocrinologist is confused to start treatment or not as it could b gestational thyrotoxiocis And i m not satisfied with his statements regarding not to start a treatment because according to my info it could cause miscarriage or abnormalities Currently i m 12+ weeks Need second opinion from Doctors here that whether to start treatment or not?? If start than what is the name of medicine n what could b the dosage?? Thanks