No, you don't have hyperthyroidism, you just have a low TSH, and Hashi's. But a low TSH on its own does not mean hyperthyroidism, and your FT4 is just slightly over-range, and FT3 is below mid-range - it's over-range FT3 that causes hyperthyroidism. Your FT3 is actually too low, because you have a conversion problem. Which is typical of Hashi's.
Are you on a gluten-free diet? Are you taking selenium?
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