The best color for the front door should be a silver or gray color. The reason for this would be to accent the white exterior and black shutters. The alternative would depend on the color of the window blinds or curtains, whereas the door should match the color of these.
It sounds like such a beautiful house! I would stick with a darker color front door. You could paint it black to match the shutters or contrast with a forest (or deeper) green or navy blue. I would definitely not do white or something light-colored, because it will blend in with the body of the house instead of "popping"!
Red…a deep apple red. A welcoming sign for visitors and a tasteful, eyecatching entrance.