putting a slightly different perspective on this.
Many parents don't like to acknowledge the fact that their child has a problem with drinking. I hope your father is supportive and understanding but if he is not then do not let that dissuade you from your recovery.
This is your recovery. You do not need anyone's permission or acceptance. You only need to accept it yourself and I agree with the previous poster who said put your energies into your plan of recovery rather than worrying about what your parents will say.
You are not on your own. You have SR, AA or what ever plan of recovery you choose to take. Stick around SR, read what is available and consider what best suits you and your circumstances.