Set a 3 to 4 quart slow cooker to low; cube softened cream cheese so it melts evenly and avoids lumps later.
In the crock, whisk hot sauce, butter, ranch or blue, Worcestershire or pomegranate molasses, and garlic until smooth; aim for a glossy orange sauce with no butter pooling.
Stir in cream cheese cubes and half the cheddar; cover and cook on low for 45 to 60 minutes until the cheese is fully melted and the sauce turns creamy and homogenous; stir once at 30 minutes if edges look melted but centers are firm.
Fold in warm shredded chicken, coating every strand; cover and cook on low 45 to 60 minutes more until bubbling at the edges with small lazy blips.
Stir, top with remaining cheddar, cover 10 to 15 minutes until melted, then switch to warm; garnish with scallions and serve with sturdy chips, celery, and carrots.