In a medium pot, melt the ghee over medium heat and sauté the diced onion, carrots, and celery until the vegetables are softened and fragrant.
Pour in the chicken bone broth and bring the mixture to a gentle simmer over medium-high heat.
Stir in the shredded chicken breast, sea salt, and black pepper, then reduce the heat to maintain a steady simmer.
In a small mixing bowl, whisk together the almond flour, arrowroot starch, baking powder, and chopped fresh thyme.
Add one tablespoon of the warm broth from the pot to the dry ingredients and stir until a thick, cohesive dough forms.
Drop small spoonfuls of the dough carefully into the simmering soup, spacing them out across the surface.
Cover the pot with a tight-fitting lid and steam for 8 to 10 minutes without lifting the lid until the dumplings are firm and cooked through.