**Core Concept**
Propranolol is a non-selective beta-blocker that is used in various clinical scenarios due to its ability to block beta-1 and beta-2 adrenergic receptors. This action has both therapeutic and adverse effects.

**Why the Correct Answer is Right**
Propranolol is used in the management of hypertension, angina pectoris, arrhythmias, and anxiety disorders. In these conditions, propranolol's beta-blocking action helps to reduce the heart rate, blood pressure, and cardiac workload. Additionally, propranolol's peripheral effects, such as reducing renin release and vasodilation, contribute to its therapeutic benefits. The drug's central nervous system effects, including anxiolytic and sedative properties, also make it useful in treating certain psychiatric conditions.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because propranolol is indeed useful in the management of hypertension.
**Option B:** This option is incorrect because propranolol is actually used in the management of angina pectoris.
**Option C:** This option is incorrect because propranolol is used in the management of arrhythmias.

**Clinical Pearl / High-Yield Fact**
Propranolol's non-selective beta-blocking action can lead to unwanted effects, such as bronchoconstriction in patients with asthma or COPD, and masking of hypoglycemic symptoms in diabetic patients.

**Correct Answer: D.**