**Core Concept**
The presentation of a unilateral nasal blockade mass in the cheek associated with epistaxis in a 15-year-old boy suggests a vascular anomaly. This condition is related to the development of blood vessels within the nasal passages and surrounding structures.

**Why the Correct Answer is Right**
The likely diagnosis is a juvenile nasopharyngeal angiofibroma (JNA). This is a rare, benign, but highly vascular tumor that primarily affects adolescent males. The tumor arises from the nasopharyngeal region and can extend into the nasal cavity, sinuses, and surrounding structures, including the cheek. The vascular nature of JNA can lead to significant epistaxis, which is a common presenting symptom. The tumor's growth can also cause nasal blockade and other local symptoms.

**Why Each Wrong Option is Incorrect**
* **Option A:** This is not a relevant option, likely an incomplete choice.
* **Option B:** Cavernous hemangioma is a different type of vascular anomaly that can present with nasal blockade and epistaxis, but it is not the most likely diagnosis in this scenario due to the patient's age and sex.
* **Option C:** Aesthetic nasopharyngeal carcinoma is a malignant tumor that affects older adults and is not typically associated with unilateral nasal blockade in a 15-year-old boy.
* **Option D:** This option is not a relevant diagnosis for the given symptoms.

**Clinical Pearl / High-Yield Fact**
Juvenile nasopharyngeal angiofibroma is a highly vascular tumor that can be challenging to manage due to its tendency to bleed extensively. Preoperative embolization is often necessary to reduce the risk of severe bleeding during surgical resection.

**Correct Answer:** D.