It seems to be some kind of neuralgia
. Usually trigemnial or facial neuralgy can cause such pain. It is not yet known the reason of it but there seems to be som etrigger factor which provocate pain.
Trauma, wind, cold or warm water are the most common triggers.
Next thing to think about is migraine
which can be localized at only one side of head,including neck.
can also be caused by nerve compression. You should do cervical spine
RTG to rule this out. IF typical analgesia didnt help then consult with your Gp about takong steroid
Wish you good health.