Welcome in H.C.M.
I have gone through your query regarding soreness at Adams apple on pressing from side, as you said that your Total thyroidectomy
had been done about 3 years back, your blood investigations reports are not favoring any malignancy of thyroid.
Considering your complaints things which comes in my mind are-
(1) You may be having sore throat
and tenderness is felt because your finger gives more pressure on inflamed mucosa of throat as there is no thyroid in between.
(2) Since 3 years have passed of your total thyroidectomy so chances of lymphatic stasis is also there which may give rise to soreness.
(3) May be early phase of recurrence of carcinoma thyroid.
You are advice to take broad spectrum antibiotic, anti-inflammatory and mucolytic
for a week. If it is a common throat infection
than you will be all right but on the other hand if this much medication seems helpless than you should contact E.N.T.specialist for thorough examination and treatment.