Dice the chicken breast into bite-sized pieces, and lightly season with salt and pepper if desired.
Chop the carrot, celery, and onion uniformly for even cooking.
In a medium pot, heat a splash of water or a small drizzle of olive oil over medium heat. Sauté the chopped vegetables for about 3-4 minutes until they begin to soften.
Add the diced chicken and continue to sauté until the chicken is lightly browned on all sides, about 3-4 minutes.
Pour in the low-sodium chicken broth and bring the mixture to a simmer. Allow it to cook for 8-10 minutes, letting the flavors meld.
While the soup simmers, prepare the dumpling batter by mixing the whole wheat flour and egg white in a small bowl. Stir until a soft dough forms; if the mixture is too thick, add a teaspoon of water.
Drop spoonfuls of the dumpling dough into the simmering soup. Cover the pot and let the dumplings steam and cook through for about 8 minutes. Do not stir vigorously to avoid breaking the dumplings.
Once the dumplings are fluffy and the chicken is fully cooked, stir in the half & half to create a creamy consistency. Heat through gently, without boiling, to avoid curdling the cream.
Finish by stirring in the fresh herbs, and adjust seasoning with salt and pepper as needed. Serve hot and enjoy the comforting flavors.