**Core Concept**
The use of combined oral contraceptives (COCs) is a complex issue, and certain medical conditions necessitate caution or contraindication. COCs contain both estrogen and progesterone, which can have various effects on the body, including alterations in coagulation, blood pressure, and liver function.

**Why the Correct Answer is Right**
The correct answer is **B**. **Thromboembolic disorders** are an absolute contraindication for COCs. This is because estrogen can increase the risk of blood clots and thromboembolic events. Women with a history of deep vein thrombosis (DVT), pulmonary embolism (PE), or a previous thromboembolic event are at a higher risk of experiencing another event while taking COCs. The estrogen component of COCs can also increase the risk of stroke and myocardial infarction in susceptible individuals.

**Why Each Wrong Option is Incorrect**
* **Option A:** **Migraine with aura** is a relative contraindication for COCs. While it is not an absolute contraindication, women with a history of migraine with aura should be cautious when taking COCs, as they may be at a higher risk of stroke.
* **Option C:** **Hypertension** is not an absolute contraindication for COCs. However, women with uncontrolled hypertension may need to be cautious when taking COCs, as they can increase blood pressure. COCs can be used in women with well-controlled hypertension.

**Clinical Pearl / High-Yield Fact**
Remember the "4 Ts" for contraindications to COCs: **Thromboembolic disorders**, **Tobacco smoking** (over 35 years), **Tumor** (breast cancer, estrogen-dependent), and **Thrombophilias** (e.g., factor V Leiden).

**Correct Answer: B. Thromboembolic disorders**