**Core Concept**
Hemithyroidectomy is a surgical procedure involving the removal of half of the thyroid gland. Complications associated with this procedure can arise from various factors, including the surgical technique, patient's overall health, and postoperative care. The underlying principle being tested here involves identifying potential adverse outcomes of a common surgical procedure.

**Why the Correct Answer is Right**
The correct answer will be a complication that can indeed occur following hemithyroidectomy. To identify this, we must consider the anatomical location of the thyroid gland and the surrounding structures. The thyroid gland is situated in the neck, anterior to the larynx and trachea, and is closely related to the recurrent laryngeal nerve (RLN). Injury to the RLN is a known complication of thyroid surgery, leading to vocal cord paralysis and hoarseness of voice. Other complications, such as hypocalcemia, bleeding, and infection, are also possible due to the proximity of the thyroid gland to vital structures.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because it is a known complication of hemithyroidectomy.
* **Option B:** This option is incorrect because it is a known complication of hemithyroidectomy.
* **Option D:** This option is incorrect because it is a known complication of hemithyroidectomy.

**Clinical Pearl / High-Yield Fact**
When performing hemithyroidectomy, it is essential to identify and preserve the recurrent laryngeal nerve to prevent vocal cord paralysis. A thorough knowledge of the thyroid gland's anatomy and the surrounding structures is crucial in minimizing complications.

**Correct Answer:** D. Recurrent Laryngeal Nerve Injury is not a common complication of hemithyroidectomy.