The purpose of this clinical research study is to examine whether embolization treatment of an elbow artery is a safe and effective way to treat elbow pain, specifically pain from tennis elbow. Embozene is a medical device made by Varian marketed in the United States for the treatment of hypervascular tumors and arteriovenous malformations. It consists of thousands of microscopic spheres that are injected into the artery to block the flow of blood to a specific region. One of the causes of pain in the setting of tennis elbow is increased blood flow going to the specific area of pain. In this study, we will investigate an experimental procedure to decrease the blood flow (embolize) to the specific region of the elbow that is causing the pain. This will be done by infusing Embozene particles into the specific blood vessel supplying the area of pain in the elbow. This is an investigational study to evaluate the safety and efficacy of elbow artery embolization (EAE) for the treatment of symptomatic lateral epicondylitis (tennis elbow).