**Core Concept**
The digestion of fatty foods involves the breakdown of triglycerides into fatty acids and glycerol, which is facilitated by a specific enzyme. This process is crucial for the absorption of fats in the small intestine.

**Why the Correct Answer is Right**
The main enzyme involved in the digestion of fatty foods is lipase, specifically pancreatic lipase. This enzyme splits triglycerides into fatty acids and glycerol, which are then absorbed by the enterocytes in the small intestine. The fatty acids are then re-esterified into triglycerides and packaged into chylomicrons for transport to the liver for further processing.

**Why Each Wrong Option is Incorrect**
**Option A:** Amylase is the enzyme responsible for the breakdown of carbohydrates, not fats.
**Option B:** Trypsin is a proteolytic enzyme that breaks down proteins, not fats.
**Option C:** Lactase is an enzyme that breaks down lactose into glucose and galactose, and is not involved in fat digestion.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that pancreatic lipase deficiency can lead to steatorrhea, a condition characterized by excessive fat in the stool, which can be a sign of pancreatic insufficiency.

**Correct Answer:** C. Pancreatic lipase.