Season the chicken breasts on both sides with salt, pepper, and garlic powder. Heat 1 tablespoon of olive oil in a skillet over medium-high heat. Cook the chicken for 6 to 7 minutes per side until golden and cooked through to 165 F internally.
Let the chicken rest for 5 minutes, then dice it into bite-sized pieces.
In a small bowl, stir together the melted butter, cayenne pepper, dark brown sugar, smoked paprika, garlic powder, and salt until smooth. Add the diced chicken to the bowl and toss until every piece is coated in the nashville hot oil. Set aside.
In a large bowl, whisk together the gluten free flour, instant yeast, sugar, salt, and xanthan gum. Add the warm water, olive oil, and apple cider vinegar and stir to form a dough. Cover and let it rise for 30 minutes in a warm spot.
Preheat your oven to 475 F. Line a large baking sheet with parchment paper. Press the dough out onto the parchment into a 13 to 14-inch round using oiled hands, building up a slight border for the crust.
Brush the dough with a thin layer of the spicy oil that collected at the bottom of the chicken bowl. Scatter the shredded mozzarella over the crust, then distribute the hot chicken pieces evenly across the top.
Bake for 12 to 14 minutes until the crust is golden and crispy, the cheese is bubbly and melted, and the chicken pieces have caramelized lightly on top.
Remove the pizza from the oven and scatter the dill pickle chips across the surface. Drizzle the ranch dressing in a zigzag pattern over the entire pizza and finish with sliced green onions. Let it cool for 2 minutes, then slice and serve while the cheese is still gooey.