**Core Concept**
The question is testing the knowledge of a specific side effect of an antiglaucoma medication, which is stenosis of the nasolacrimal duct. This is a rare but potential complication of certain medications used to treat glaucoma.

**Why the Correct Answer is Right**
The correct answer is **latanoprost**, a prostaglandin analog used in the treatment of glaucoma. Latanoprost can cause nasolacrimal duct stenosis as a rare side effect, likely due to its mechanism of action involving the prostaglandin receptor. This receptor is also present in the nasolacrimal duct, leading to potential stenosis.

**Why Each Wrong Option is Incorrect**
* **Option A:** Timolol is a beta-blocker used in glaucoma treatment, and it is not commonly associated with nasolacrimal duct stenosis.
* **Option B:** Dorzolamide is a carbonic anhydrase inhibitor, and it is not known to cause nasolacrimal duct stenosis.
* **Option C:** Brimonidine is an alpha-2 agonist, and it is not associated with nasolacrimal duct stenosis.

**Clinical Pearl / High-Yield Fact**
It's essential to note that prostaglandin analogs, including latanoprost, can cause changes in the color of the iris and eyelashes, in addition to the risk of nasolacrimal duct stenosis.

**Correct Answer: C. Latanoprost**