A 45-year-old female presents with a three-month history of fatigue, weight gain, and constipation. On examination, she has a low-grade fever, bradycardia, and her skin feels cold and doughy with non-pitting oedema, most notably around her eyes and in her hands. Her ECG shows low voltage QRS complexes and her initial blood work reveals a hypochromic microcytic anaemia. She is currently on no medication besides an iron supplement, which has not improved her anaemia.
Given this patient's clinical picture, which of the following is the most likely diagnosis?