**Core Concept**
The sacral splanchnic nerves are a group of nerves that arise from the sacral spinal cord (S2-S4) and provide parasympathetic innervation to the pelvic organs, including the bladder, the rectum, and the reproductive organs. These nerves play a crucial role in regulating involuntary functions such as urination, defecation, and sexual arousal.

**Why the Correct Answer is Right**
The sacral splanchnic nerves primarily contain parasympathetic preganglionic nerve fibers that are responsible for the parasympathetic control of the pelvic organs. These fibers synapse with postganglionic neurons in the pelvic plexus, which then innervate the target organs. The damage to the sacral splanchnic nerves would disrupt this parasympathetic control, leading to potential urinary retention, constipation, and other autonomic dysfunction.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because the pudendal nerves are primarily involved in the somatic innervation of the pelvic floor muscles, including the external anal sphincter and the urethral sphincter. While they do play a role in the control of bladder and bowel function, they are not the primary nerve fibers damaged in this scenario.

**Option B:** This option is incorrect because the hypogastric nerves are primarily sympathetic in nature and are responsible for the sympathetic control of the pelvic organs. While they do play a role in the control of pelvic organ function, the damage to the sacral splanchnic nerves would primarily affect parasympathetic function.

**Option C:** This option is incorrect because the pelvic splanchnic nerves are a group of nerves that arise from the lower thoracic and upper lumbar spinal cord (T10-L2) and provide sympathetic innervation to the pelvic organs. They are not the primary nerve fibers damaged in this scenario.

**Option D:** This option is incorrect because the obturator nerve is a purely somatic nerve that provides innervation to the adductor muscles of the thigh and is not involved in the autonomic control of pelvic organ function.

**Clinical Pearl / High-Yield Fact**
The sacral splanchnic nerves are a critical component of the pelvic autonomic nervous system, and damage to these nerves can lead to significant autonomic dysfunction, including urinary retention, constipation, and impotence. It is essential for clinicians to understand the anatomy and function of these nerves to provide appropriate management and treatment.

**Correct Answer:** C.