**Core Concept**
The question highlights the importance of nutritional factors in wound healing, specifically the role of vitamin C in the synthesis of extracellular matrix components. Vitamin C is a crucial cofactor for the enzyme prolyl hydroxylase, which is essential for the stabilization of collagen fibers.

**Why the Correct Answer is Right**
Vitamin C deficiency impairs the synthesis of collagen, a key component of the extracellular matrix. Collagen provides strength and structure to tissues, including wound healing sites. The prolyl hydroxylase enzyme requires vitamin C as a cofactor to convert proline and lysine residues into hydroxyproline and hydroxylysine, which are essential for collagen cross-linking. Without sufficient vitamin C, collagen synthesis is disrupted, leading to poor wound healing.

**Why Each Wrong Option is Incorrect**
* **Option A:** Glycosaminoglycans (GAGs) are important components of the extracellular matrix, but their synthesis is not directly affected by vitamin C deficiency.
* **Option B:** Elastin is another protein component of the extracellular matrix, but its synthesis is not as directly dependent on vitamin C as collagen synthesis is.
* **Option D:** Fibrin is a protein involved in blood clotting, but its synthesis is not directly related to vitamin C deficiency.

**Clinical Pearl / High-Yield Fact**
Vitamin C deficiency can lead to scurvy, a condition characterized by poor wound healing, bleeding gums, and joint pain. It is essential to maintain adequate vitamin C levels, especially in patients undergoing surgery or with poor nutritional status.

**Correct Answer:** C. Collagen.