Having Shoulder Pain. Diagnosed Due To Rotten Tooth. Prescribed Antibiotics. Having Sharp Pain. Still Because Of Tooth?
It does not seem to be a referred tooth pain
Detailed Answer:
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The pain does not seem to be a referred tooth pain due to badly rooted tooth. It is true that some shoulder pain can be referred from tooth ache, but I do not think this is the case.
It is most likely that the problem is coming from your throat with possibility of you have oesophageal problem such as oesophagitis or oesophageal ulcer or tumor (for this to be confirmed you will need a doctor to examine you and request for an endoscopy). A dentist will be able to help with the tooth problem but will not be able to help you if the problem is digestive in origin.
The shoulder pain you are insinuating that moved to the back might not even be related as you might have had a shoulder pain due to strain injury or myalgia or pinched nerve but the painful swallow and back pain might be coming from your oesophagus.
In either case, you will need to see a doctor after you have seen your dentist (who may decide if you require to see another doctor or not).
Hope this helps and wish you the best.
Dr. Nsah