Active_comparator: Thyroid Lobectomy

Randomization Protocol~Patients with intermediate molecular-risk thyroid nodules will be randomized to thyroid lobectomy or total thyroidectomy. We will perform a 1:1 randomization in a consecutive manner. Patients will be informed of what operation they will receive and providers will also be aware what operation was performed as it dictates care moving forward. Details of operative management will be discussed further.~Peri-operative Protocol~Thyroid Lobectomy Patients undergoing thyroid lobectomy will have the thyroid lobe containing the cancer removed in the standard surgical technique. These operations will be performed at either the UCLA Health Westwood Ambulatory Surgery Center, UCLA Ronald Reagan Medical Center, or UCLA Santa Monica Medical Center. Patients will undergo our usual postoperative care.

Active_comparator: Total Thyroidectomy

Randomization Protocol~Patients with intermediate molecular-risk thyroid nodules will be randomized to thyroid lobectomy or total thyroidectomy. We will perform a 1:1 randomization in a consecutive manner. Patients will be informed of what operation they will receive and providers will also be aware what operation was performed as it dictates care moving forward. Details of operative management will be discussed further.~Total Thyroidectomy and Completion Thyroidectomy~Patients undergoing total thyroidectomy will have their whole thyroid gland removed in the standard surgical technique. Patients undergoing a completion thyroidectomy will have their remaining thyroid lobe removed. These operations will be performed at UCLA Ronald Reagan Medical Center or UCLA Santa Monica Medical Center. Patients will undergo our usual postoperative care.