Thank you so much for your advice. Hopefully taking the medicine when it will have the optimum absorption will make the difference in the TSH..
CORRECTION -- your target TSH with the history of papillary cancer is lower than usual -- for the first year, in low risk patients, it's 0.1-0.4 (give or take) then if there is not evidence of persistence/recurrence then 0.3-0.8 ----- hope that helps. You may end up needing a higher dose, but first would follow your surgeon's good suggestion.
TSH should be 0.5-2.5 -- but separating the med as suggested may help absorption which would make the current dose more effective and lower the TSH. Thinning hair may be thyroid, may be something else -- see what happens when the TSH is optimized.