Free T4 and T3 should be tested for hyperthyroid just in case if you've lost weight.
TSH is a signal hormone that increases as a request from the thyroid to make more hormones under ideal circumstances, then decreases to reduce the signal and lower hormone production. T4 is a protein bound hormone that increases in hyperthyroidism, but Free T4 and T3 are better markers if you can get re-tested.