Preheat your oven to 425°F (220°C) and line a baking sheet with parchment paper.

In a large mixing bowl, combine flour, baking powder, and salt. Whisk until evenly blended.

Add cold, cubed butter to the flour mixture. Use a pastry cutter or your fingers to work the butter into the flour until it resembles coarse crumbs.

Stir in shredded cheddar cheese and chopped green chiles until evenly distributed.

Gradually add milk, stirring gently until a soft dough forms.

Turn the dough onto a lightly floured surface and knead gently 3-5 times until it comes together.

Roll out the dough to about 1 inch thick and cut out shapes using a biscuit cutter.

Place the cut biscuits on the prepared baking sheet, leaving space between them. Bake for 15-20 minutes until golden brown.

Allow biscuits to cool slightly on the baking sheet for about 5 minutes before serving warm.