Preheat the oven to 400 degrees F.
Place the chicken breasts in a pot with enough water to cover them. Bring to a boil, then reduce heat to medium, and cook for about 15-20 minutes, until they reach an internal temperature of 165 degrees F.
Remove the cooked chicken from the pot and set aside to cool.
Place the salsa verde, cilantro leaves, and mayonnaise, in a blender or food processor, and blend until smooth.
Once the chicken is cool, shred it and place it in a large bowl. Add the corn, ½ cup of the sauce, and ¾ cup of the dairy free shredded cheese to the bowl and mix well.
Now it's time to assemble the enchiladas, which you will place in a 9x13 baking dish. Place a gluten free tortilla on a plate or work surface, and spoon some refried beans onto it, smoothing them out with a spoon. Add some of the chicken mixture, and roll up the tortilla. Place the enchilada seam side down in the baking dish.
Repeat step 6 with all of the tortillas, lining the enchiladas up next to each other in the baking dish. Pour the sauce over all of the enchiladas. Sprinkle the remaining dairy free cheese on top.
Bake at 400 degrees F for about 30 - 35 minutes, or until the sauce is bubbling and the edges are golden brown.