The most effective conventional and alternative treatments for tennis elbow have the same basic premise: Rest the arm until the pain disappears, then massage to relieve stress and tension in the muscles, and exercise to strengthen the area and prevent re-injury. If you must go back to whatever caused the problem in the first place, be sure to warm up your arm for at least 5 to 10 minutes with gentle stretching and movement before starting any activity. Take frequent breaks. Wear your tennis elbow brace if possible.
Conventional medicine offers an assortment of treatments for tennis elbow, from drug injections to surgery, but the pain will never go away completely unless you stop stressing the joint. Re-injury is inevitable without adequate rest.
For most mild to moderate cases of tennis elbow, aspirin or ibuprofen will help address the inflammation and the pain while you are resting the injury, and then you can follow up with exercise and massage to speed healing.