In a large bowl, combine flour and sugar. Cut in butter until crumbly; stir in the cheese and dill. In a small bowl, beat egg and milk; pour into dry ingredients and stir just until moistened. (Batter will be very thick.) Pour into a greased 8x4-in. loaf pan. Bake at 350° for 35-40 minutes or until bread tests done. Cool in pan 10 minutes before removing to a wire rack.
As a substitute for each cup of self-rising flour, place 1-1/2 teaspoons baking powder and 1/2 teaspoon salt in a measuring cup. Add all-purpose flour to measure 1 cup.