Incorrect Steak with Dixon Red Chili Sauce

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1 (10 to 12-ounce) New York steak, prepared medium-rare

Dixon red chili sauce, recipe follows

White cheddar, fine quality, grated, to taste

1 egg, fried, sunny side up

Dixon Red Chili Sauce:

3 ounces canola or other vegetable oil

4 tablespoons flour

1 cup red chili puree, recipe follows

1/2 teaspoon salt

1 cup chicken broth

Red Chili Puree:

12 dried New Mexican red chiles, lightly oven roasted, stems broken off, and seeds shaken out or 1/2 cup pure New Mexican red chile powder (medium to mild; Medium Dixon is best)

1 clove garlic

1/2 teaspoon salt

1/2 teaspoon dry Mexican leaf oregano

1/2 cup hot water