Grilled Buffalo Chicken Cutlets

Name: Grilled Buffalo Chicken Cutlets
Ingredients: 4 (6-ounce) chicken cutlets; Kosher salt and freshly ground black pepper; Olive oil, for greasing grill grates; 1/2 cup hot sauce (recommended: Frank''s Hot Sauce); 3 tablespoons butter; 1 teaspoon smoked paprika; 1 teaspoon apple cider vinegar; 1 clove garlic, finely minced; Blue Cheese Slaw, recipe follows; 1 small (1 1/2 pound) head green cabbage; 1 small shallot, peeled; 1 large carrot, peeled; 4 ounces Danish blue cheese, crumbled; 1/4 cup buttermilk; 1/4 cup light sour cream; 1/4 cup light mayonnaise; 2 teaspoons apple cider vinegar; 1/2 teaspoon celery seed