Heat the oil in a large nonstick skillet or black steel pan over high heat. Add the trout, flat side down, for about 3 minutes, or until lightly browned. Turn and saute for another 2 minutes or until fully cooked. Remove and set aside. Keep warm.
03Pour off the excess fat from the pan. Add the orange sections, shallots and lemon thyme, and cook briefly, just to warm through. Do not brown the shallots. Stir in the lemon juice, the vodka and the soft butter. Blend well.04To serve, place trout, one each, on warm plates, and spoon the sauce over it. Garnish with the basil.