Gather all of your ingredients.

Heat the olive oil in a large pot over medium heat. Meanwhile, dice the onion and mince the garlic if using fresh rather than pre-minced. Add the onion and garlic to the hot oil and saute until tender (5 min).

If using fresh carrots and celery, clean and slice them while the onions are sauteing. Add them to the pot and cook for about 5 minutes more.

Add the chicken breast (whole), bay leaf, oregano, thyme, cracked pepper, dry rice, and 6 cups of water to the pot. Do not add salt yet. Bring the pot up to a boil over medium high heat, then reduce the heat to low and let simmer for one hour.

Near the end of the hour, begin to make the creamy milk mixture. In a small pot, melt 2 tablespoon of butter over medium heat. When it is fully melted, whisk in 2 tablespoon of all-purpose flour. Cook and stir the butter and flour mixture for two minutes.

Now, whisk in the milk and allow it to come up to a simmer, whisking occasionally to keep it from scorching on the bottom. Once it reaches a simmer, it will have thickened slightly. Remove it from the heat.

In the pot, carefully shred the chicken with two forks. Rinse and chop the parsley. Add the parsley and the thickened milk mixture to the soup. Season with salt to taste. Serve hot!