Heat olive oil in a large pot over medium-high heat and stir in ground turkey. Cook and stir until turkey is crumbly, evenly browned, and no longer pink. Transfer turkey to a bowl; set aside.
Cook and stir onion in the same pot until nearly translucent, about 5 minutes. Add carrots and celery. Continue to cook and stir until tender, about 8 more minutes.
Stir in corn, about 1/4 cup cilantro, garlic, taco seasoning, cumin, chili powder, dried oregano, and cooked turkey. Cook and stir until fragrant, about 2 minutes.
Mix in tomatoes with juice, kidney beans, olives, and green chile pepper. Pour in chicken broth, water, and lime juice; season with salt and black pepper. Bring to a boil, then reduce heat to low and continue to simmer for 20 minutes. Remove chile halves and garnish with remaining cilantro before serving.