Localized pain in the neck

Patient: I have a localized pain in the left side of my neck where you would take a pulse under the mandible. It started a couple of days ago hurting when i turned my head. That pain has since gotten better but it still hurts when i push on it. It doesn’t feel swollen and it doesn’t hurt when I swallow. Should I be majorly concerned?

Symptoms: Pain when turning head

Doctor: