**Core Concept**
The underlying condition being tested involves a disorder of **adrenal steroidogenesis**, which leads to an imbalance of various hormones. This imbalance can cause a range of symptoms including **hypertension**, **hyperpigmentation**, and **virilization**. The condition is related to the **adrenal gland**'s inability to produce certain hormones.

**Why the Correct Answer is Right**
The correct answer is related to a deficiency that leads to **congenital adrenal hyperplasia (CAH)**, a group of inherited disorders that affect the adrenal glands. These disorders are caused by defects in enzymes involved in the synthesis of **corticosteroids** from **cholesterol**. One key enzyme deficiency leads to an overproduction of **androgens**, causing virilization, and an accumulation of precursors that stimulate **ACTH** production, leading to hyperpigmentation.

**Why Each Wrong Option is Incorrect**
**Option A:** This would not directly explain the combination of hypertension, hyperpigmentation, and virilization.
**Option B:** Similarly, this option does not account for the specific symptoms presented.
**Option C:** This is not directly related to the symptoms of hypertension, hyperpigmentation, and virilization in a female child.

**Clinical Pearl / High-Yield Fact**
A key point to remember is that **11-beta hydroxylase deficiency**, a form of CAH, can lead to hypertension due to the accumulation of **deoxycorticosterone (DOC)**, a potent mineralocorticoid. This condition presents with virilization due to androgen excess and hyperpigmentation due to elevated **ACTH** levels.

**Correct Answer:** D. 11-beta hydroxylase.