Think about alternate lighting to bring warmth into your kitchen. Add some natural lighting by adding a sky light (if possible) or pulling back curtains and adding sheers to your windows to let natural light flow into your cozy space.
Also, introduce a soft color pallet into your kitchen. It doesn't have to mean repainting or a total remodel. By adding a few accessories like vases, plants, place mats and napkins you can create a warm inviting place to spend time with your family and friends. Throw a blanket over one of your kitchen chairs so it will be handy to snuggle up in while enjoying a cup of coffee or tea. Be sure to keep things simple though, the idea of creating a hygge kitchen is minimal and simplistic finishing touches.
You may want to add "natural" elements and bring nature inside! Use a branch or natural wood to hang your dish towels or hang your pots and pans. Using natural stone or bricks for a backsplash will introduce different textures and neutral colors into your kitchen while adding beauty and a feeling of peace and tranquility.