Pat okra dry with paper towels. Place buttermilk and hot sauce in a shallow bowl. In another shallow bowl, combine the flour, cornmeal, salt and pepper. Dip okra in buttermilk mixture, then roll in cornmeal mixture.
In a cast-iron or other heavy skillet, heat 1 in. oil to 375°. Fry okra, a few pieces at a time, until golden brown, 1-1/2 to 2-1/2 minutes on each side. Drain on paper towels. If desired, season with additional salt and pepper.