**Core Concept:**
Duct ectasia is a benign condition characterized by dilation of lactiferous ducts in the breast, leading to accumulation of milk and subsequent inflammation, which can result in a palpable mass and discharge.

**Why the Correct Answer is Right:**
In the given scenario, the patient presents with a mass in the left breast and bloody discharge. Histopathology confirms duct ectasia, which is the appropriate treatment choice. In duct ectasia, the dilated lactiferous ducts cause the accumulation of milk, leading to inflammation and subsequent symptoms. Treatment focuses on addressing these symptoms and preventing infection.

**Why Each Wrong Option is Incorrect:**
A. **Option A:** Surgical intervention (mastectomy) is incorrect for duct ectasia treatment as it is a benign condition and does not require surgical removal of the breast tissue.

B. **Option B:** Antibiotics are not the correct treatment for duct ectasia, as they are only required if there is infection present, which is not the primary focus in this scenario.

C. **Option C:** Hormonal therapy does not address the primary issue of dilated lactiferous ducts in duct ectasia and is unlikely to provide relief for the patient.

D. **Option D:** Conservative management (observation) is not suitable for duct ectasia, as the condition typically requires treatment to alleviate symptoms and prevent potential complications.

**Clinical Pearl:**
In cases of duct ectasia, conservative management should be tailored to address the patient's symptoms, such as pain relief, infection prevention, or management of discharge. Treatment options include:

1. Antipyretics for fever and pain relief
2. Antibiotics for potential infection
3. Surgical excision of the affected breast tissue (lumpectomy) to alleviate symptoms and prevent complications
4. Hormonal therapy may be considered for women, depending on their age and potential impact on menopause

**Correct Answer:** D. Conservative management (lumpectomy)

Duct ectasia is a benign condition that requires appropriate management to alleviate symptoms and prevent potential complications. Conservative management includes lumpectomy, which involves surgical excision of the affected breast tissue. This treatment option addresses the dilated lactiferous ducts and provides relief from symptoms such as pain, discharge, and infection risk.