In a medium pot, combine the chicken broth, diced onion, carrots, and celery before bringing to a gentle simmer over medium heat.
Add the cubed chicken breast, dried thyme, sea salt, and black pepper to the pot, then cover and cook for 8 minutes until the chicken is nearly opaque.
In a small bowl, whisk together the almond flour, tapioca starch, and egg white until a thick, uniform paste forms to create the dumpling dough.
Use a small spoon to drop tablespoon-sized portions of the dough directly into the simmering broth.
Cover the pot tightly and steam the dumplings for 5 minutes without lifting the lid to ensure they become light and airy.
In a small jar, whisk the arrowroot powder with one tablespoon of water to create a slurry, then gently stir it into the broth along with the frozen peas and coconut milk.
Simmer for 2 more minutes until the sauce is thick and glossy, then garnish with fresh parsley and serve immediately.