**Core Concept**
Kallman syndrome is a rare genetic disorder characterized by delayed or absent puberty, associated with hypogonadotropic hypogonadism. It is also often accompanied by anosmia, which is the loss of the sense of smell.

**Why the Correct Answer is Right**
The correct answer is related to the clinical features of Kallman syndrome. The syndrome is primarily associated with hypogonadotropic hypogonadism, which is a result of decreased secretion of gonadotropin-releasing hormone (GnRH) from the hypothalamus. This leads to decreased production of luteinizing hormone (LH) and follicle-stimulating hormone (FSH) from the pituitary gland, resulting in delayed or absent puberty. Anosmia, or loss of the sense of smell, is a common feature in some cases of Kallman syndrome, likely due to the congenital absence or hypoplasia of the olfactory bulbs.

**Why Each Wrong Option is Incorrect**
**Option A:** This is not a feature of Kallman syndrome, as it is primarily associated with hypogonadotropic hypogonadism, and not hypergonadotropic hypogonadism, which is characterized by elevated levels of LH and FSH.

**Option B:** Anosmia is indeed a feature of Kallman syndrome in some cases, so this option is incorrect.

**Option C:** Delayed or absent puberty is a hallmark of Kallman syndrome, so this option is incorrect.

**Option D:** While not all individuals with Kallman syndrome have anosmia, it is a common feature, especially in cases associated with congenital hypoplasia of the olfactory bulbs.

**Clinical Pearl / High-Yield Fact**
Kallman syndrome is often associated with the presence of a midline facial defect, such as cleft lip or palate, and may also be associated with other congenital anomalies, such as renal agenesis or cardiac defects.

**Correct Answer: A. Hypergonadotropic hypogonadism is not a feature of Kallman syndrome.**