You will probably need to see your general practitioner first, and after that you may be referred to a surgeon who specializes in lymphedema removals, assuming you will get it removed.
There is no specialized doctor to treat this condition because lymphedema is not really a medically recognized subspecialty. In other words one doctor is no better than any other to diagnose and treat this condition.
An Oncologist is the type of doctor you would see for lymphedema. A licensed massage therapist can also help improve this ailment if done on a regular basis.