Hi thanks for contacting HCM. As such hypothyroidism not directly related infection.... You can have sore throat by virus or streptococci like infection... For that investigate with ASO titre , if positive than amoxyclav antibiotic given.. Salt water gargles done two times a day... Steam inhalation and benadryl like drug useful for congestion relief ..... Avoid excess spicy foods and oily foods ... Take oxymetazoline nasal spray for three days .... If needed than again chest x ray done or throat swab taken.... If tsh level high and t4 low than levothyroxine tablet needed .... Take care ..... Advise : physician consultation