Answer: D.the parotid gland
Explanation:
The innervation of the parotid gland is by auriculotemporal nerve and great auricular nerve as sensory innervation , and
the parasympathetic innervation originated from glossopharyngeal nerve;which synapse with otic ganglion;from this end point(the ganglion) the auriculotemporal nerve conduct parasympathetic fibres to the parotid gland.
The superior cervical ganglion , innervated the parotid gland as the sympathetic innervation. It travels along the external carotid artery to reach the parotid gland.
therefore PAROTID GLAND IS NOT INNERVATED BY VAGUS NERVE.
All other options in the questions are innervated by the vagus nerve.
Vagus nerve has the longest branch of all the cranial nerves, which extends from the brain to the abdomen. As it exist the jugular foremen , it innervates the head, the neck and abdomen to supply the above options a-c