Any thyroid cancer, nonmedullary in which the cause of the disease is a mutation in the FOXE1 gene. The disease is thyroid cancer, nonmedullary, 4 (Monarch Disease Ontology entry MONDO_0014681). Also known as: FOXE1 thyroid cancer, nonmedullary, thyroid cancer, nonmedullary caused by mutation in FOXE1, thyroid cancer, nonmedullary, type 4.