Pour buttermilk or sour milk over bran in small bowl; let stand till softened.
Meanwhile, cream shortening and sugar till light and fluffy.
Beat in egg.
Sift together flour, baking powder, salt, and soda.
Add to creamed mixture alternately with milk-bran mixture.
Stir in shredded cheese.
Fill greased muffin pans 2/3 full.
Bake at 400° for 30 minutes.