Suggest Remedy For Pain On Left Side Of Neck
Don't think it's related to the artery.
Detailed Answer:
I read hour question carefully and I am sorry about the symptom you are experiencing.
I do not think it is an artery related issue though. Usually artery involvement like cervical artery dissection, manifest themselves apart from acute pain involving the neck and head, with stroke symptoms due to emboli released in the brain circulation, or with symptoms related to nerve compression like ptosis, pupillary asymmetry, cranial nerve palsies etc.
What actually is the cause of course would need a physical exam to be said, but most probably it's a benign muscular strain, which should gradually subside, helped if necessary by over the counter anti inflammatory pain killers like Ibuprofen.
I hope to have been of help.