In a large pot, heat the olive oil over medium heat. Add the diced onion and sauté for about 5 minutes until translucent, followed by the minced garlic for an additional 1 minute.
Add the sliced carrots and celery to the pot. Cook for about 5-7 minutes until they start to soften.
Stir in the dried thyme and rosemary, then pour in the chicken broth. Bring the mixture to a gentle boil.
Once boiling, reduce the heat to low, and add the shredded chicken and frozen peas. Season with salt and pepper to taste. Let simmer while you prepare the dumplings.
In a medium bowl, whisk together the flour, baking powder, and salt. Drizzle in the melted butter and milk, and stir until just combined; do not overmix.
Drop spoonfuls of the dumpling batter onto the simmering chicken and broth—this recipe should yield about 10-12 dumplings. Cover the pot with a lid.
Allow the dumplings to cook for about 15-20 minutes, without lifting the lid, until they are cooked through and fluffy.
After the dumplings are fully cooked, gently stir the chicken and broth to combine everything. Adjust seasoning if needed.
Notes
Serve in deep bowls garnished with fresh parsley. A side of crusty bread pairs well.