Hello from JustAnswer.
Many of the symptoms of hypothyroidism and hyperthyroidism are non-specific, so can occur in a variety of other conditions. There is also some degree of overlap, since it is obviously impossible for someone to be hypothyroid and hyperthyroid at the same time.
You do not say which thyroid treatment you are taking, but the most common would be thyroid replacement, such as with levothyroxine. If there are persistent symptoms in someone on thyroid replacement, the first goal is to achieve a TSH that is within the normal range. There is some evidence that certain people on thyroid replacement may do better if the TSH is lower in the normal range. So, if symptoms persist when the TSH is in the upper portion of the normal range, further adjustment of the dose to achieve a TSH around 1.0 may do better.
However, there is some risk to this. And particularly, if there are anxiety symptoms, slight increases in thyroid replacement doses may exacerbate the anxiety.
If your doctor is not willing to consider adjusting the dose of thyroid replacement, then it would be an option to consult a different doctor, possible a specialist in thyroid disease.
If I can provide any additional information, please let me know.