Sulfotransferase that utilizes 3'-phospho-5'-adenylyl sulfate (PAPS) as sulfonate donor to catalyze the sulfate conjugation of thyroxine. Involved in the metabolism of thyroxine. 3'-phosphoadenylyl sulfate + thyroxine = adenosine 3',5'-bisphosphate + H(+) + thyroxine sulfate Optimum pH is 8. Expressed in brain, heart, kidney, thymus, lung, liver and testis. Belongs to the sulfotransferase 1 family.