Season the chicken with salt and pepper.
Heat olive oil in a large soup pot over medium-high heat.
Sear the chicken for about 3 minutes per side until lightly browned. Remove and let rest for 10 minutes before cutting into bite-sized pieces.
In the same pot, melt the butter and sauté the onions, carrots, and celery for about 5 minutes.
Add the garlic, Worcestershire sauce, hot sauce, and all the seasonings. Cook for 1 minute until fragrant.
Sprinkle in the flour and stir continuously for 2 minutes.
Slowly pour in the chicken broth while stirring to create a smooth base.
Gradually stir in the half-and-half, then add the chicken bouillon cube if using.
Add the frozen peas and bring the soup to a gentle simmer.
In a mixing bowl, combine the flour, baking powder, baking soda, salt, garlic powder, and sugar.
Stir in the sour cream, milk, and melted butter until just combined. Do not overmix.
Return the chicken and any juices to the soup.
Drop spoonfuls of dumpling dough evenly across the surface of the Chicken and Dumplings soup.
Spoon a little broth over each dumpling.
Cover tightly and simmer gently for 15 minutes without lifting the lid.
Test a dumpling with a toothpick. If it comes out clean, the dumplings are done.
Garnish with fresh parsley and serve hot.