It is very frustrating to have an injury that prevents you from exercising or limits some of the activities that you enjoy. "Tennis-elbow" can be caused be the repetitive stress of exerting force to hit the tennis ball with a locked (hyper-extended) elbow joint. This type of injury also happens in other racquet sports such as golf and baseball. It can also happen if incorrect technique is used in weight lifting. Keeping your elbow joints "soft" (slightly bent instead of locked) is the key to avoiding this type of injury.
Before you resume your strength training program, you need to completely recover from your tennis elbow. First, talk to your doctor again about two things: pain management and a referral to a sports medicine specialist and a physical therapist. The physicians that we work with tell us that there is no reason to be in pain when it can be treated in a variety of ways including mild anti-inflammatory drugs or other medications, rest, ice and rehabilitation. A physical therapist can teach you specific stretching exercise for the muscles and tendons that surround the elbow. They can also watch you perform your strength training exercises and give you feedback to be sure that you are exercising with proper technique. When you can perform a full range of movements with your arms and elbows without pain, then you will be ready to gradually return to weight lifting.
When you resume the SWSS program, double-check your exercise technique, particularly when doing the Biceps Curl exercise. The key to preventing injury is to be sure that your elbow has a slight bend when your arm is straight down. Be vigilant in your exercise technique and do not let your arm simply hang at your side, this can cause the elbow to lock and will aggravate your tennis elbow. Best wishes for a speedy recovery.