**Core Concept**
The oculomotor nerve (cranial nerve III) controls several extraocular muscles responsible for eye movements, including convergence. The nerve also innervates the levator palpebrae superioris muscle, which elevates the upper eyelid.

**Why the Correct Answer is Right**
The oculomotor nerve primarily affects the following muscles:
- Superior rectus: responsible for upward gaze
- Inferior rectus: responsible for downward gaze
- Medial rectus: responsible for inward (adduction) movement
- Inferior oblique: responsible for upward and outward movement of the eye
- Levator palpebrae superioris: elevates the upper eyelid
- Superior oblique: controls rotational movement of the eye (involuntary, via the trochlea)

**Why Each Wrong Option is Incorrect**
* **Option A:** This option should list the lateral rectus muscle, which is actually innervated by the abducens nerve (cranial nerve VI), not the oculomotor nerve.
* **Option B:** This option should list the trochlear nerve (cranial nerve IV) as the correct answer since it innervates the superior oblique muscle, which is also controlled by the oculomotor nerve but via the trochlea.
* **Option C:** This option should list the nasociliary nerve as the correct answer, as it is a branch of the ophthalmic nerve (V1), not a muscle affected by the oculomotor nerve.

**Clinical Pearl / High-Yield Fact**
Remember that the oculomotor nerve is responsible for convergence, which is the inward movement of both eyes during near vision tasks. This is a crucial function in normal vision and is often impaired in patients with oculomotor nerve palsy.

**Correct Answer:** D.