OK, so what happens if you see a psychiatrist for your phobia of aluminum cans as well as your regular General Practitioner.
The psychiatrist tells the cops, sure I don't see a problem while your GP is completely against guns and based on this alone tells the police he doesn't think it's a good idea for you to have a gun. Which doctor trumps which? What rules do they follow for making such a decision concerning your rights? What is the criteria?
Having being treated for depression in the past wouldn't ban you form owning a firearm serious mental illness could. If your appalachian it rejected you have the right to appeal.