I am not familiar with the thyroid med you mention. Could it be levothyroxine, or are you in another country where T4 med has a different name?
TSH is a pituitary hormone that is affected by so many things that at best it is only an indicator, to be considered along with more important indicators such as symptoms and also levels of the biologically active thyroid hormones, Free T4 and Free T3. So please tell us about symptoms that you have and also post results and reference ranges from any thyroid tests you have had besides TSH.