Place the cottage cheese and red enchilada sauce into a high-speed blender or food processor. Process until the mixture is completely smooth and no curds remain.
Place a large skillet over medium heat. Add the shredded chicken, black beans, and corn.
Season the chicken mixture with chili powder, cumin, and garlic powder. Stir to combine and heat for 5 minutes until the ingredients are warmed through.
Lower the heat to low. Pour the blended cottage cheese sauce into the skillet with the chicken and beans.
Stir continuously for 2-3 minutes until the sauce is heated through and well-incorporated. Do not let the mixture boil, as this may cause the cottage cheese to separate.
Portion the mixture into 4 serving bowls.
Top each bowl with shredded Monterey Jack cheese while hot, allowing it to melt naturally.
Garnish with chopped cilantro and serve with a lime wedge.