Preheat oven to 375°F (190°C). Cook and shred chicken.
Mix shredded chicken, avocado, onion, garlic, cheese, cumin, chili powder, cilantro, salt, and pepper.
Fill tortillas with mixture, roll, and place seam-side down in baking dish.
Prepare sauce by whisking flour into heated olive oil, then gradually adding broth and almond milk. Stir in salsa verde and lime juice, simmer until thickened.
Pour sauce over enchiladas, top with cheddar, cover, and bake for 15 minutes. Uncover and bake 5-7 minutes until bubbly. Garnish with cilantro and serve with lime wedges.
Notes
For a spicier kick, add a dash of hot sauce or chopped jalapeños.