Shred the cooked chicken into bite-sized pieces.
In a large pot, heat olive oil over medium heat. Add diced onion, celery, and carrots. Sauté for 5-7 minutes until tender.
Stir in minced garlic and cook for an additional minute. Add shredded chicken, chicken broth, ranch dressing, cream cheese, dill, paprika, salt, and pepper. Mix well.
Bring to a gentle simmer, reduce heat to low, and cook for 15-20 minutes, stirring occasionally.
Stir in shredded cheddar cheese until melted. Adjust seasoning if needed and serve hot, garnished with chopped green onions.