Preheat the oven to 375 degrees. Grease a 12-cup muffin pan with butter, or spray with non-stick spray.
Whisk together the flour, baking powder and salt in a medium bowl.
Using a pastry cutter, cut in the butter until all combined.
Whisk together the milk, oil and eggs in a large bowl.
Add the flour mixture, cheese, and green chiles to the milk mixture. Stir until combined.
Spoon the batter into the prepared pan.
Bake until golden, 20 to 22 minutes. Remove from the pan and serve warm.