Heat olive oil in a large pot over medium heat and sauté the onion, carrots, and celery until the onions are translucent.
Pour in the chicken bone broth and add the sea salt, black pepper, and dried thyme, bringing the mixture to a gentle boil.
Add the whole chicken breast to the pot, reduce heat to low, cover, and simmer for 12 minutes until the chicken is fully cooked.
Remove the chicken from the pot, shred it into bite-sized pieces using two forks, and return the shredded chicken to the simmering broth.
In a small bowl, whisk together the flour and baking powder, then stir in the almond milk until a thick, sticky dough forms.
Drop the dough by small spoonfuls into the simmering soup, cover tightly, and steam for 10 minutes without lifting the lid until the dumplings are fluffy.
Garnish with fresh parsley before serving in a deep bowl.