Dice the chicken breast into bite-sized pieces and finely chop the onion, carrots, and celery.
Heat the olive oil in a medium pot over medium heat, then sauté the onion, carrots, and celery until the onions are translucent.
Add the chicken pieces to the pot and cook for 3-4 minutes until the exterior is browned.
Stir in the chicken broth, coconut milk, thyme, sea salt, and black pepper, then bring the mixture to a gentle simmer.
In a small bowl, whisk together the almond flour, arrowroot powder, and baking powder, then stir in the water to form a thick dough.
Drop small spoonfuls of the dough onto the surface of the simmering soup, cover the pot with a tight lid, and steam for 10 minutes until the dumplings are set and the chicken is cooked through.