In a medium bowl, whisk flour, cornmeal, baking powder, salt and cayuenne. Stir in cheddar.

In a food processor, puree cottage cheese. Add oil and process until smooth. Add flour mixture and pulse just until the dough clumps together.

Turn dough out onto a lightly floured surface and knead gently several times. Divide in half, form each piece into a disk and srap in plastic wrap. Refrigerate for at least 20 minutes or up to 2 day. S

Meanwhile, preheat oven to 400°F. Lightly oil 2 baking sheets or coat them with nonstick spray.

On a lightly floured surface, roll dough to a thickness of 1/8 inch. Using a 2 1/2-inch round serrated or other decorative cookie cutter, cut out cookies. Arrange on prepared baking sheets. (Reroll and cut scraps.)

Bake cookies, 1 sheet at a time, for 8 to 12 minutes, or until golden and firm. Transfer to a wire rack to cool.