In a food processor pulse almonds, cornmeal, cayenne, and black pepper, until ingredients are combined and almonds are minced, while still having a slight amount of texture. Dip filets in egg white, coat both sides with almond mixture. Using your hands, press coating onto filets.
Add oil to a large skillet, on medium-high heat, sear filets on both sides until golden and can easily flake with a fork. Remove filets from the skillet and pat with a paper towel to remove excess oil.