I'd talk to a therapist or counselor before I tackled someone resistant to new ideas. People who have never suffered from depression cannot understand what it is like. People with little imagination or empathy will be hard to deal with. Try not to give them a handle to beat you with. Don't talk back or fight because you will open yourself to attack. You need to be a bit strong to confront people like this. However, sometimes an opportunity will arise that will naturally allow for some communication. Look for those opportunities and then explain a little of how you feel and that what you are experiencing is actually a disease. Just plant the seed and don't push it. It may be that your father loves you and feels guilty and helpless because he doesn't know how to help you.
I do hope you are seeing a professional. I think you need help to cope with your depression. Keep posting here and let us know how you are doing.