In the majority of cases, people taking adequate doses of thyroid medication find that their TSH becomes suppressed below range. Having a suppressed TSH does not automatically mean you are hypothyroid unless you have hyper symptoms due to excessive levels of Free T4 and Free T3, the biologically active thyroid hormones. So please tell us about what symptoms you have, if any. Also please post the Free T4 result and its reference range shown on the lab report. In the future you should make sure they always test for both Free T4 and Free T3. Free T3 is the thyroid hormone that is metabolized by all the cells of your body, and you need to know Free T3 level to be sure your body is adequately converting T4 to T3.
Since hypothyroid patients are so frequently deficient in Vitamin D, B12 and ferritin if not already done you should test those and then supplement as needed to optimize. D should be at least 50 ng/mL, B12 in the upper end of its range, and ferritin should be at least 100.