**Core Concept**
Frey's syndrome, also known as gustatory sweating or auriculotemporal syndrome, is a rare neurological disorder that occurs due to damage to or misdirection of nerve fibers during parotid gland surgery. This condition is characterized by excessive sweating (hyperhidrosis) and flushing of the skin in response to stimuli that normally cause salivation, such as the sight, smell, or taste of food.

**Why the Correct Answer is Right**
The auriculotemporal nerve is a branch of the mandibular division of the trigeminal nerve (cranial nerve V3). During parotid gland surgery, damage to the auriculotemporal nerve can lead to aberrant regeneration of nerve fibers, resulting in the inappropriate connection of sympathetic and parasympathetic nerve fibers. This abnormal connection causes the release of acetylcholine, a neurotransmitter that stimulates both sweat glands and salivary glands, leading to the characteristic symptoms of Frey's syndrome.

**Why Each Wrong Option is Incorrect**
* **Option A:** The great auricular nerve is another branch of the cervical plexus that provides sensory innervation to the skin of the face and ear. Damage to this nerve during parotid gland surgery does not typically result in Frey's syndrome.
* **Option B:** The facial nerve (cranial nerve VII) controls the muscles of facial expression and taste to the anterior two-thirds of the tongue. Damage to the facial nerve during parotid gland surgery can lead to facial weakness or paralysis, but not Frey's syndrome.
* **Option C:** The glossopharyngeal nerve (cranial nerve IX) is responsible for taste to the posterior one-third of the tongue and provides parasympathetic innervation to the parotid gland. Damage to this nerve during parotid gland surgery does not typically result in Frey's syndrome.

**Clinical Pearl / High-Yield Fact**
Frey's syndrome is often referred to as "post-parotid surgery gustatory sweating." It is essential to identify and preserve the auriculotemporal nerve during parotid gland surgery to prevent this condition.

**Correct Answer:** C.