Not a doctor, won't give medical advice. However, did endure the pain that comes with golfers elbow. If you have to wear a brace to play because of this pain just stop as it will only cause the recovery time to be longer. As boring as it is to not play while dealing with an injury, it is worse to play with injuries and affect your swing and other joints and muscles in compensating for this injury.
1. If the pain is bad only when playing golf, stop playing for a while, but if you have pain while doing other daily activities see a doctor and figure out the issue and the proper course of treatment.
2. Find a good sports massage therapist. They specialize in injury recovery and they are totally worth it.
3. As several people have responded, building up the muscle and tissue that support will be the greatest help going forward.
Even following these steps, it took me almost 6 months to be able to play pain free again.