Cut the chicken breast into bite-sized pieces and finely dice the carrots, celery, and onion.
In a large pot, bring the chicken broth to a gentle simmer over medium heat.
Add the diced carrots, celery, onion, and chicken pieces to the pot and cook for 8-10 minutes until the vegetables are slightly tender.
In a small bowl, whisk together the almond flour, tapioca starch, egg white, dried thyme, sea salt, and black pepper until a thick paste forms.
Using a small spoon, drop rounded teaspoons of the dumpling mixture into the simmering broth.
Cover the pot with a tight-fitting lid and simmer for 5 minutes without opening to allow the dumplings to steam and puff up.
Ladle the soup and dumplings into a bowl and garnish with fresh chopped parsley.