Your doctor is likely only paying real attention to your TSH. Your symptoms are more like hypo, but you really need additional tests done to know what is going on. as mentioned, I would request an ultrasound of the thyroid gland. Also I would ask for cortisol, Free T3 and Reverse T3, Vitamin D, B12 and ferritin. All affect a person's thyroid status.
It may be that your thyroid gland has been affected by the Hashi's to the point that it is producing enough hormone to suppress your TSH, but not enough to satisfy your body's need for thyroid hormones Free T4 and Free T3. This will show in a good ultrasound test of the thyroid gland.
What, if any, symptoms do you have?
The high results for the TG ab and TPO ab are indicative of Hashimoto's Thyroiditis, which is an autoimmune system disorder. With Hashi's the thyroid gland is erroneously identified as foreign to the body and attacked by the antibodies until over an extended period the gland is destroyed. As this is occurring the gland's output of thyroid hormone is diminished, resulting in the pituitary secreting more and more TSH, in an attempt to stimulate output of thyroid hormone. The fact that your TSH is low indicates the possibility of nodules having formed on the thyroid gland and leaking hormone faster than normal, resulting in low TSH. If this is the case then tests for the biologically active thyroid hormones, Free T4 and Free T3 would be in the high end of their range or above and you would have hyper symptoms. Were you tested for Free T4 and Free T3? If not, you should make sure to get those done every time you go in for tests. TSH is inadequate as an indicator of thyroid status except at extreme levels. You should also request an ultrasound test of your thyroid gland to evaluate its condition.
Also, my T4 is 1.4 & TSH Reflex 3rd Gen is <.01