Heat the olive oil in a medium pot over medium heat and sauté the diced onion, carrots, and celery for 5 minutes until softened.
Add the whole chicken breast, bone broth, dried thyme, sea salt, and black pepper to the pot.
Bring the liquid to a gentle simmer, cover, and cook for 12-15 minutes until the chicken is cooked through.
Remove the chicken from the pot, shred it using two forks, and return the shredded meat to the simmering broth.
In a small mixing bowl, whisk together the almond flour, tapioca starch, baking powder, egg white, and parsley until a thick batter forms.
Drop small spoonfuls of the dumpling batter into the simmering soup, cover the pot tightly, and steam for 6 minutes without lifting the lid.
Ladle the chicken, vegetables, and fluffy dumplings into a bowl and serve immediately.