I think/hope that you are right about it being anxiety.
Some of my history is at www.myrnacatharsis.com
The tightness in my chest is more like that in my throat than like palpitations, I have had a number of heart tests, including a nuclear stress electocardiogram and a CT scan with contrast and these seem fine.
Some of my history is at www.myrnacatharsis.com .
For more than a year now I have felt "slapped around" by Vanderbilt University. Whether this is connected to their knowledge of my medical condition or whether it is some personal animosity on the part of someone in the hierarchy is not clear to me. Maybe my symptoms are due to anxiety.
Both a feeling of throat fullness/constriction and chest tightness can be symptoms of anxiety. The trauma from the FNA, could easily have caused anxiety, even if you don't actually "feel" anxious; however, with those symptoms, anxiety seems likely.
Actually the tightening in your throat leans to inflammation more than the actual organ (prior to a surgical removal)
More often the inflammation is due to autoimmune antibodies still raised in the blood causing it. The tightening in the chest is confusing and details on the actual experience you are having should be more explained.
Are you experiencing a similiar situation as the tightness in your neck is, or could the symptom be better explained as chest/heart palpations?
FNA biopsies can be very dramatic for some patients and the level of discomfort varies from individual to individual and thyroid condition to thyroid condition. Mine was an experience I would choose to never experience again also and was a nightmare.
Is there a post elsewhere that has more thyroid history of your specific situation for me to view over? Was there cancer involved?