In a large pot, combine the chicken broth, carrots, celery, onion, garlic powder, thyme, salt, and pepper. Bring to a boil over medium-high heat.
Reduce the heat and let it simmer for about 10 minutes until the vegetables are tender.
In a mixing bowl, whisk together the flour, baking powder, and ½ teaspoon salt.
In another bowl, combine the milk, melted butter, and egg.
Pour the wet ingredients into the dry ingredients and stir until just combined. Do not overmix.
Add the shredded chicken to the simmering broth and stir to combine.
Drop spoonfuls of the dumpling batter into the broth.
Cover the pot and let the dumplings cook for about 15 minutes without lifting the lid.
Once the dumplings are cooked through, serve hot in bowls, ensuring each serving has both chicken and dumplings.