Melt the suet or heat the oil in a heavy 3-quart (or larger) pot over medium-high heat. Remove the unrendered suet and add the meat to the pot. Break up any lumps with a fork and cook, stirring occasionally, until the meat is evenly browned.
2.
Add the tomato sauce, beer, ground chili, garlic, onion, oregano, paprika, 1 teaspoon of the cumin, and the salt. Stir to blend. Bring to a boil, then lower the heat and simmer, uncovered, for 1 hour. Stir occasionally.
3.
Taste and adjust seasonings, adding the cayenne pepper. Simmer, uncovered, 1 hour longer.
4.
Stir in the cheese and the remaining 1/2 teaspoon of the cumin. Simmer 1/2 hour longer, stirring often to keep the cheese from burning.