Ditto

Cabinets or walls.

Aside from painting the door to match the cabinets, you may also consider painting it a colour that matches the window shades, or one of the deeper tones seen in the backspash -- these options will give the door some visual weight to tie it in with the wooden window and door casings. Hope that helps!

A color would be fun... Do you have an accent color elsewhere that you could incorporate?

Same color as cabinets along with the trim around the doors and windows. Wall paint appears to have a peachy undertone. Gray would be better.

I don't know how brave you are but I think the door facing would look nice painted the same color as cabinetry and paint the door a tan color or one of darker shades in the backsplash. Lovely space. Good luck.

Same as cabinets, but 25% darker. I would also paint the trim around the window (and door) in the lightest creamy white that is in the stone backsplash. That reddish color wood does nothing for your otherwise very nice kitchen. That's the first thing the eyes go to is the window/door trim.

I totally agree!