**Core Concept**
Primary oocytes in the ovaries of females remain arrested in the prophase I of meiosis I. This is due to the presence of a specialized protein called synaptonemal complex, which holds the homologous chromosomes together.

**Why the Correct Answer is Right**
The primary oocytes in the ovaries of females remain in the prophase I of meiosis I because of the presence of the synaptonemal complex. This complex is a protein structure that holds the homologous chromosomes together, preventing them from separating until the onset of meiotic maturation. The primary oocytes in the ovaries remain in this state for many years until they are stimulated to complete meiosis I, resulting in the formation of a secondary oocyte and a first polar body.

**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because the primary oocytes do not remain in the metaphase I stage. The metaphase I stage is a short-lived stage where the homologous chromosomes line up at the metaphase plate, but the primary oocytes in the ovaries do not remain here.
* **Option B:** This option is incorrect because the primary oocytes do not remain in the anaphase I stage. The anaphase I stage is a stage where the homologous chromosomes separate, but the primary oocytes in the ovaries remain arrested in the prophase I stage.
* **Option C:** This option is incorrect because the primary oocytes do not remain in the telophase I stage. The telophase I stage is a stage where the chromosomes begin to separate, but the primary oocytes in the ovaries remain arrested in the prophase I stage.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that the primary oocytes in the ovaries remain arrested in the prophase I stage until they are stimulated to complete meiosis I, resulting in the formation of a secondary oocyte and a first polar body. This is a critical concept in reproductive medicine and is essential for understanding the process of oogenesis.

**Correct Answer:** D