Thanks for consulting HealthcareMagic!
Actually, pain in the neck is not a significant thing to suspect thyroid
problems in particular. In other words, thyroid problems mostly do not have pain in neck as common symptom. However, there are lot of other problems which need to be ruled for this kind of pain like laryngitis
etc. Physical examination is mandatory to assess this. Hope I have answered your query. Let me know if you have have any clarifications.
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Wish you good health!