**Core Concept**
The question tests the understanding of **extraocular muscle function** and **compensatory head movements** 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 (move it outward) is impaired. To compensate for this limitation and to maintain binocular vision, the head is turned towards the side of the palsy. This compensatory movement allows the eyes to align without requiring abduction of the affected eye.

**Why Each Wrong Option is Incorrect**
**Option A:** Turning the head to the left would not compensate for the right lateral rectus palsy, as it would require even more abduction of the right eye.
**Option B:** Turning the head upwards or downwards does not directly compensate for the lack of abduction.

**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 limited eye movement, helping to align the eyes for binocular vision.

**Correct Answer:** C. Right