Add the chicken breasts to the slow cooker.
Pour in the chicken broth and buffalo sauce, then stir in the celery, carrots, onion, and garlic powder.
Cover and cook on low for 6 hours.
Remove the chicken breasts, shred them with two forks, and return the meat to the pot.
Add the cubed cream cheese and stir until it melts into the broth.
Cover again and cook on low for 30 more minutes, stirring once halfway through to help the cheese blend evenly.