Sharp pain in the side of face could be due to injury to a nerve or pinched nerve, an infection or a trauma. Hence it could be Trigeminal neuralgia, abscess
in tooth, exposed root
canal, internal ear infection, maxillary sinusitis, TMJ, migraine, herpes (recurrent) without rash or fibromyalgia localized to face. These other possibilities too should be looked into. Do discuss this with your doctor and get yourself examined. Take care!