Hello, my sister suffering from hypothyroidism, she have low level of each T3, T4 and TSH, she is depressed, loss weight, appetite, low iron level anemia, have fatigue, dry skin, she tested for other hormone levels and all were normal, she continuously take the medication for hypothyroidism as well as vitamins and menials supplements but her health conditions not improving.
In hypothyroidism, T3 and T4 are low while TSH remains high. There seems some confusion with you in this regard. Thyroid imbalance could be easily restored by medicines. Most of the symptoms you have mentioned are because of thyroid imbalance. Please keep in touch with and endocrinologist and continue the medication as prescribed.