Assemble all necessary ingredients before starting.
In a skillet over medium heat, combine the chicken and hot pepper sauce. Cook for 3 to 5 minutes until thoroughly warmed. Incorporate the cream cheese and ranch dressing, stirring consistently until the mixture is smooth and evenly heated.
Gradually mix in half of the shredded Cheddar cheese, ensuring it blends well. Transfer the prepared mixture to a slow cooker, then sprinkle the remaining cheese over the top.
Cover the slow cooker and set it to Low. Allow the dip to cook for approximately 35 minutes, or until it is hot and bubbly.
Serve immediately with the prepared celery sticks and chicken-flavored crackers for dipping.