Have what feels like a swollen vein in right temple, not too sore but I can feel it. Is this normal?

See a doctor. Most likely this is just local irritation or inflammation. However, there is a condition called temporal arteritis which is an inflammatory condition involving the medium size arteries often on the side of the head. It can be associated with headaches, fever, hearing difficulties amongst other symptoms. If this condition persists or worsens, please see a doctor.