In a large stockpot heat 2 tablespoons of the olive oil over medium heat. Add the pieces of bacon and cook until the bacon renders its fat and just starts to crisp, about 10 to 12 minutes.
Add the chopped celery, sweet onion, bell pepper and garlic. Continue cooking over medium heat until the vegetables are soft, about 15 minutes.
Toss in the fresh thyme, kosher salt, black pepper and Creole seasoning.
Add the peas, pour in the chicken stock and bring to a boil.
Cover, reduce the heat to medium-low and cook until the peas are very tender – about 45 minutes to one hour.
In a medium saucepan heat the remaining olive oil over medium heat. Stir in the rice and cook for about 5 to 7 minutes to lightly toast the rice.
Skim off 3 cups of the cooking stock and add to the rice. Cover the saucepan and reduce the heat to low. Cook the rice for 20 minutes or until the liquid has been absorbed. When the rice is cooked fluff it with a fork.
To serve, add a scoop of rice to a bowl, ladle the black-eyed peas over the rice and garnish with freshly chopped parsley if desired.