**Core Concept**
The question is testing the student's knowledge of the anatomy of abdominal surgery and the specific risks associated with McBurney's incision, a type of surgical approach used for appendectomies. McBurney's incision involves a transverse incision in the right lower quadrant of the abdomen.

**Why the Correct Answer is Right**
McBurney's incision carries a risk of injury to the ilioinguinal nerve, which is the nerve most commonly injured in this type of incision. The ilioinguinal nerve arises from the L1 and L2 nerve roots and runs downward across the inguinal ligament, where it is at risk of injury during McBurney's incision. This nerve provides sensory innervation to the skin of the upper medial thigh and the root of the penis in males and the mons pubis in females.

**Why Each Wrong Option is Incorrect**
* **Option A:** The femoral nerve is not typically at risk during McBurney's incision, as it is located more medially and is not directly in the path of the incision.
* **Option B:** The obturator nerve is not commonly injured during McBurney's incision, as it is located more medially and is not directly in the path of the incision.
* **Option C:** The lateral femoral cutaneous nerve is not typically at risk during McBurney's incision, as it is located more laterally and is not directly in the path of the incision.

**Clinical Pearl / High-Yield Fact**
It is essential for surgeons to be aware of the risk of ilioinguinal nerve injury during McBurney's incision and to take steps to minimize this risk, such as using a generous incision and avoiding excessive retraction on the skin.

**Correct Answer:** C. Ilioinguinal nerve.