**Core Concept**
The patient's symptoms and examination findings suggest a breast pathology, specifically a ductal lesion. This condition is often characterized by a nipple discharge, which may be bloody, and a palpable nodule deep to the areola.

**Why the Correct Answer is Right**
The patient's presentation is highly suggestive of a **ductal papilloma**, a benign tumor that arises from the mammary ducts. The bloody discharge and the presence of a palpable nodule are classic findings in this condition. The ductal papilloma is thought to arise from the epithelial cells lining the mammary ducts, which can lead to the obstruction of the duct and subsequent bleeding. The careful palpation of the nipple-areolar complex, which results in blood oozing at the 3 O'clock position, is also consistent with a ductal papilloma.

**Why Each Wrong Option is Incorrect**
**Option A:** Ductal carcinoma in situ (DCIS) is a type of breast cancer that arises from the epithelial cells lining the mammary ducts. While DCIS can present with nipple discharge, it is not typically associated with a palpable nodule deep to the areola.

**Option B:** Intraductal papilloma is a type of benign tumor that arises from the epithelial cells lining the mammary ducts. While it can present with nipple discharge, it is often associated with a nipple discharge that is serous or bloody, but not necessarily with a palpable nodule.

**Option C:** Fibroadenoma is a type of benign breast tumor that arises from the epithelial and stromal cells of the breast. It is typically a firm, mobile mass that is not associated with nipple discharge.

**Option D:** Breast abscess is a type of breast infection that can present with a palpable mass and nipple discharge. However, it is not typically associated with a bloody discharge or a palpable nodule deep to the areola.

**Clinical Pearl / High-Yield Fact**
It's worth noting that bloody nipple discharge is a classic symptom of a ductal papilloma, and careful palpation of the nipple-areolar complex can help to determine the location of the lesion.

**Correct Answer:** C.