**Core Concept**
The question tests the understanding of **extraocular muscle function** and **compensatory mechanisms** in the context of **cranial nerve palsies**, specifically the **abducens nerve (CN VI)**, which innervates the **lateral rectus muscle**.

**Why the Correct Answer is Right**
In right lateral rectus palsy, the ability to abduct the right eye is compromised. To compensate for this weakness and to maintain binocular vision, the head is turned towards the side of the palsy. This allows the affected eye to be moved medially by the **medial rectus muscle**, which is innervated by the **oculomotor nerve (CN III)**, thus reducing diplopia.

**Why Each Wrong Option is Incorrect**
**Option A:** Incorrect because turning the head to the left would exacerbate the diplopia by increasing the demand on the paretic lateral rectus muscle.
**Option B:** Incorrect as it does not directly address the compensatory head movement in lateral rectus palsy.
**Option C:** Incorrect because this option does not apply to the given scenario of right lateral rectus palsy.
**Option D:** This is the correct action but the explanation for the other options is necessary for understanding.

**Clinical Pearl / High-Yield Fact**
A key point to remember is that in lateral rectus palsy, the head is turned towards the side of the weakness to compensate for the lack of abduction, reducing diplopia and improving vision.

**Correct Answer:** D. the right.