Chicken and Dumplings for Two

Name: Chicken and Dumplings for Two
Ingredients: 2 tablespoons unsalted butter; 2 carrots , peeled and sliced 1/4 inch thick; 1 small onion , chopped fine; 1 garlic clove , minced; 1/2 teaspoon minced fresh thyme; Salt and pepper; 1 tablespoon all-purpose flour; 1/4 cup dry sherry; 2 cups chicken broth; 1 pound boneless, skinless chicken thighs , trimmed and cut into 1-inch pieces; 1/3 cup frozen peas; 1/2 cup (2½ ounces/71 grams) all-purpose flour; 1 teaspoon baking powder; 1/4 teaspoon salt; 1/4 cup chicken broth; 1 tablespoon unsalted butter , melted