01 -
Heat the oven to 400°F (200°C). If using a cast-iron skillet, place it in the oven while it preheats so the pan is hot when the cheese goes in.
02 -
Remove the chorizo from its casing and crumble into the skillet over medium heat. Cook for 5 to 7 minutes until browned and cooked through. Spoon off most of the rendered fat, leaving about a teaspoon in the pan.
03 -
Spread the drained diced green chiles in an even layer over the bottom of the skillet or baking dish. Mix the Oaxaca strips and shredded Monterey Jack together, then pile the cheese loosely over the chiles without pressing down.
04 -
Bake for 15 to 18 minutes until the cheese is fully melted and just starting to bubble at the edges. The surface should be barely beginning to color, not browned all the way through.
05 -
For a few golden patches on top, move the skillet under the broiler for 60 to 90 seconds. Watch it the entire time as it can overbrown very fast.
06 -
Squeeze the lime over the top, scatter cilantro and diced tomato if using, and bring directly to the table. Serve immediately with warm tortillas or chips.