**Core Concept:**
The question is about a patient presenting with symptoms of bleeding from a single duct in the breast, which could be due to various conditions like benign or malignant lesions. The appropriate management depends on the underlying cause.

**Why the Correct Answer is Right:**
The correct answer, **C. Mammary Ductal Carcinoma In Situ (DCIS)**, is chosen because it is the most common type of non-invasive breast cancer. In DCIS, malignant cells are confined to the ducts and lobules, and surgical excision is recommended as it is the primary treatment for this condition.

**Why Each Wrong Option is Incorrect:**

A. **Mastitis:** This is an inflammation of the breast tissue, usually caused by bacterial infections. Treatment focuses on antibiotics and drainage of abscess if present.

B. **Fibroadenoma:** A benign tumor of the breast that does not cause bleeding. The treatment is conservative, monitoring and reassessment.

D. **Inflammatory Breast Cancer (IBC):** IBC is a rare and aggressive form of breast cancer. Treatment includes neoadjuvant chemotherapy, followed by surgical excision and radiation therapy.

**Why the Correct Answer is Right:**
DCIS is a non-invasive breast cancer, which requires surgical excision for definitive treatment. In contrast, options A, B, and D represent conditions where the primary treatment is not surgical excision.

**Clinical Pearl:**
Understanding the correct diagnosis is essential for appropriate treatment and prognosis of patients with breast symptoms. In this case, a thorough clinical examination and imaging studies will help in arriving at the correct diagnosis.