There is no shame in having a problem. Alcoholism is a disease and like any other disease you have to treat it to get better. There is no way to do it alone and you must beware of denial. There will be one day when you wake up and realize.... "I'm in trouble!"
Going to the doctor is nerve wracking for sure. Nobody wants to go but when you do it is imperative to be completely transparent. No matter the issue, shame is useless; doctors have literally seen it all... just ask Meredith Grey. So lead with the truth it's the only way to keep living.... denial will get you nowhere.