Looking through photos on Houzz I am surprised how many pictures of homes, in a style similar to yours, show a door color in a ginger color stained wood, instead of painted door. That color would also tie in nicely with the color of stone in the sidewalk.
But honestly, I think the door looks nice as is. It makes for a welcoming and happy entry.

Is it possible to change the sidewalk to match the brick on your porch, and leave the door color as it is? I don't care for those stones in that color. A slate gray color stone would look better.

If you need solid wood doors go to www.etodoors.com or call (888)Door ETO.

BMoore Arroyo Red on the door