Final answer:
The nurse should prioritize educating the client to abstain from smoking in order to promote vasodilation in peripheral arterial disease.
Step-by-step explanation:
The priority nursing intervention that the nurse should perform to promote vasodilation in a client with peripheral arterial disease is option d: Educate the client to abstain from smoking.
Smoking is a major risk factor for peripheral arterial disease as it narrows the blood vessels and reduces blood flow to the affected limbs. By educating the client to quit smoking, the nurse can help improve blood flow and promote vasodilation, reducing symptoms like leg pain and skin ulcers.
Furthermore, quitting smoking has many other health benefits, including reducing the risk of heart disease, lung cancer, and respiratory conditions.