In a glass or plastic measuring cup, add lime juice (or vinegar) to milk. Let sit for at least 10 minutes.
Preheat oven to 425°F. Spray an 8" or 9" baking pan with non-stick spray. Make sure it is well coated.
In a medium sized bowl, whisk together cornmeal, flour, sugar, salt, chili powder, cumin, paprika, baking powder, and baking soda. Stir in milk/lime juice mixture, cheese, green chiles, and oil until combined. Try not to over-mix.
Pour batter into prepared baking pan. Bake in preheated oven for 20-25 minutes. Allow to cool on a wire rack for at least 15-20 minutes. Cut into 9 pieces. Enjoy!