Dice the chicken breast into bite-sized pieces and finely chop the carrots, celery, and onion.
In a medium pot, melt the ghee over medium heat and sauté the onion, carrots, and celery until the onion is translucent.
Add the chicken pieces to the pot and cook until lightly browned on all sides.
Stir in the dried thyme, rosemary, sea salt, black pepper, and chicken bone broth, then bring the mixture to a gentle simmer.
In a small mixing bowl, whisk together the whole wheat flour and baking powder, then stir in the water until a thick dough forms.
Drop small spoonfuls of the dough into the simmering broth, ensuring they are spaced apart.
Cover the pot with a tight-fitting lid and simmer for 10 minutes without lifting the lid to allow the dumplings to steam and fluff up.
Remove the lid, stir in the full-fat coconut milk and frozen peas, and cook for an additional 2 minutes until the stew is creamy and the peas are bright green.