Prepare Filling: In a large bowl, combine chicken, cream cheese, mayo/yogurt, 1 cup of cheese, green onion, and hot sauce. Mix well and season with salt and pepper.
Make Garlic Butter: In a small bowl, mix melted butter and minced garlic.
Assemble: Lay a tortilla flat. Sprinkle ~2 tbsp cheese in the center. Top with 1/4 of the chicken filling, then another sprinkle of cheese.
Fold: Fold the left and right sides in. Tightly roll the wrap from the bottom up to create a sealed parcel.
Cook: Lightly brush the outside of each wrap with garlic butter. Heat a large non-stick skillet over medium heat. Place wraps seam-side down. Cook for 3-4 minutes per side until golden-brown and crispy. Cover the pan for the last few minutes to melt the cheese perfectly.