In a large pot, heat olive oil over medium heat.
Add chopped onion, diced carrots, and diced celery; sauté until softened.
Stir in chicken broth and bring to a boil.
Add shredded cooked chicken and season with salt and pepper.
In a bowl, mix flour, baking powder, and salt.
Stir in milk and beaten egg to form a dough.
Drop spoonfuls of dough into the boiling soup.
Cover and let dumplings steam for about 15 minutes.
Add fresh herbs before serving.
Serve hot, garnished with additional herbs.