Heat a large skillet over medium- high heat. Season the chicken with the salt and pepper. Add the butter and olive oil to the skillet. Once melted, add the chicken and cook until golden on all sides – cook for 5 minutes, then flip and toss and cook for 5 minutes more.
Drizzle the honey over the chicken and toss. Turn the heat down to medium. Add the Pernod to deglaze the pan, tossing the chicken well.
To assemble the quesadillas, add some cheese on the bottom of the tortilla. Fill with half of the chicken, half of the peach and corn. Add another sprinkling of cheese and the top tortilla. Repeat with remaining ingredients.
Heat either the same skillet or a large griddle over medium heat and add a touch of butter to coat the bottom. Place the filled tortillas on the surface and cook until the tortilla is golden and crisp and the cheese is melted.
Slice and serve with the peach guacamole and a drizzle of crema.