If you didn’t soak the peas overnight, add them to a large pot with enough water to cover. Bring the water to a boil, then remove from heat. Let the peas soak for 1 hour before draining.
Place the smoked turkey in a large pot and add enough water to cover. Bring to a boil, then reduce heat and simmer for 45 minutes to 1 hour until the turkey is tender. Check the water level and add more if needed.
Fill a sink or large bowl with water. Wash the greens thoroughly, scrubbing the veins to remove dirt. Remove the stems and chop the greens into bite-sized pieces.
Heat olive oil in a Dutch oven over medium-high heat. Add the onions and garlic, sautéing until fragrant and translucent.
Add the greens to the pot in batches, allowing them to wilt before adding more. Stir occasionally to combine.
Add the chicken broth, black-eyed peas, smoked turkey, and Creole seasoning to the pot. Stir to mix well. Ensure the liquid fully covers the ingredients. Add more broth or water if necessary.
Cover the pot and simmer on medium-low heat for about 2 hours. Stir occasionally. Check for doneness by mashing a bean with a fork—it should be soft and tender.
Remove the smoked turkey. Shred the meat with two forks and return it to the pot if desired. Taste and adjust seasoning with salt and pepper as needed.
Serve hot with a slotted spoon, and pair with your favorite Southern sides.