The superficial temporal artery is often affected in temporal arteritis and biopsied if the diagnosis is suspected.
Details from Gray's Anatomy
The superficial temporal artery, the smaller of the two terminal branches of the external carotid, appears, from its direction, to be the continuation of that vessel.
It begins in the substance of the parotid gland, behind the neck of the mandible, and corsses over the posterior root of the zygomatic process of the temporal bone; about 5 cm. above this process it divides into two branches, a frontal and a parietal.
Relations
As it crosses the zygomatic process, it is covered by the Auricularis anterior muscle, and by a dense fascia; it is crossed by the temporal and zygomatic branches of the facial nerve and one or two veins, and is accompanied by the auriculotemporal nerve, which lies immediately behind it.