Dice the chicken breast into bite-sized pieces and finely chop the carrots, celery, and onion.
Heat the avocado oil in a heavy-bottomed pot over medium heat and sauté the onion, carrots, and celery for 5 minutes until softened.
Add the chicken pieces to the pot and season with sea salt, black pepper, and dried thyme, stirring to lightly brown the meat.
Pour in the chicken bone broth and bring the mixture to a gentle simmer over medium-low heat.
In a small mixing bowl, combine the whole wheat flour and baking powder, then gradually stir in the water until a thick, tacky dough forms.
Drop small spoonfuls of the dough into the simmering broth, cover the pot with a tight-fitting lid, and steam for 10 minutes.
Remove the lid, gently stir in the full-fat coconut milk to thicken the broth into a creamy sauce, and garnish with fresh parsley before serving.