I am experiencing similar pain on the right side of my Adams Apple every time I swallow. It is not a "soar throat" feeling, more muscular in nature and very specific in a small area. I took a good shot to the Adams Apple several months back and had a clicking sound when I swallowed, my doc said that is not abnormal but now with this soarness I am concerned. I also smoke on occasion have had this for about 3 weeks now.