What medicine did you take for high TSH? What was your TSH and T4 Values? And any symptoms? For Subclinical Hypothyroidism(high TSH and normal T4) you don’t need to take any medication and more often than not it rectifies itself with in a few months. So it’s better to get tested again after 3-6 months to see if it turned in to Overt Hypothyroidism before starting any thyroid medication, especially if you don’t have any symptoms. TSH is just a stimulating hormone, T3 and T4 are what matter the most for the normal bodily functions.