Position rack in the bottom third of the oven and heat oven to 450 degrees. Place an ovenproof wire rack over a sheet pan. Dab a folded-up paper towel with olive oil and rub it over the wire rack to grease it or use a brush. Place rack in oven to preheat.
In a medium bowl, whisk together the sour cream, egg white and Dijon mustard until smooth. Season with salt. Set aside.
Lay the chicken flat on a cutting board and carve each breast in half horizontally so you end up with four thin cutlets. Add the chicken to the sour cream mixture, and smear the sour cream all over the chicken.
In a large bowl, crush the Ritz crackers into coarse pieces with your fingers. Some crackers will turn to rubble while others turn to dust. Leave some chunks, which will crisp up nicely in the oven. Add the cheese, garlic powder, onion powder and olive oil (add some thyme and or paprika, 1/2 t each if you like) . Season with ½ teaspoon salt and toss until evenly distributed.
Hold chicken cutlet by its thinner end, add to the bowl with the crumbs, and using your hands, press the crumbs onto the chicken to create a thick coating. Transfer the breaded chicken to the rack in the sheet pan. Repeat with the remaining cutlets. If you have leftover crumb mixture, sprinkle if on chicken before baking.
Bake the cutlets until the outsides are crispy and the insides are no longer pink, 10 to 15 minutes (check at 10!!!). Let the chicken cool slightly so the coating can set, about 5 minutes, before transferring to plates.
Serve with with a nice crisp salad!