This will be an open label, non-randomized study to evaluate the efficacy and safety of the combination of selpercatinib followed by 131I therapy for patients with RET fusion differentiated thyroid cancer. The primary Phase II objective will be to evaluate the pulmonary structural response rate at 18 months to the combination of selpercatinib given for 6-months followed by 131I therapy. This is exempt from Investigational New Drug requirements per the FDA.