Did your elbow land you in the emergency room or urgent care? If it did, the doctors there probably identified the major problems with it before sending you home. But elbow problems need expert follow-up. The more subtle problems that can cause trouble down the line may not have been on their list or presenting at all, though.
Soft tissue damage, nerve damage, and other seemingly small issues can develop into bigger ones, leading to elbow instability and other painful conditions later on. An orthopedic doctor who specializes in detecting these subtleties before they become serious can put you on the right track to healing properly. Early detection makes a big difference.