Here are a few excerpts from the Society for Endocrinology - Thyroid hormone metabolism in innate immune cells...
"Thyroid hormone (TH) metabolism and thyroid status have been linked to various aspects of the immune response. There is extensive literature available on the effects of thyroid hormone on innate immune cells."
"Circulating TH levels have a profound effect on neutrophil, macrophage and dendritic cell function."
"This overview of the literature suggests that TH metabolism plays an important role in the host defence against infection through the modulation of innate immune cell function."
With symptoms after a TT, it makes me wonder about your Free T4 and Free T3 levels. Please post thyroid related test results and reference ranges shown on the lab report. Also, what are the other issues? What thyroid med are you taking and what is daily dosage?