I was in a similar situation with silvery wallpaper I ended up painting the walls very pale grey- just grey enough so that white photo frames etc. look nice on it. I have bright sunshine yellow with it to make it warmer- and thinking of adding bits of turquoise and magenta as well to make it a bit more cheery :)

White would look fab, especially if you have a wooden floor. I’ve got a very dark hall and stairs and I painted it Dulux Egyptian Cotton but it’s maybe a little dingy. A very pale grey would also work. Pick a grey you like then go a shade lighter as a dark hallway can make many greys look dingy too. Good luck.

Pick out a colour from the rug. Can I see orange?

Hi Em, Thought I would add our 2 cents and see if its any help. My first thought for your walls is a friendly light grey like Dulux "Silver Ash" or "Lexicon Half". It's warmer than white, but still bright and modern, making it a perfect companion for your kitchen colors. If you fancy something a bit different, how about a soft greige. Dulux "Dieskau" or Taubmans "Ashen Mist" would give your space an inviting warmth, tying beautifully with your off-white worktop and oak floor. Before you make a final decision, paint a small patch on the wall and check it at different times of day, as the lighting can change how a color looks. Enjoy the rest of your renovation journey!