Prep the slow cooker: Lightly spray the insert with cooking spray for easier cleanup.
Place the chicken in a single layer at the bottom.
Make the sauce: In a bowl, stir together salsa, green chiles, tomato paste, lime juice, chili powder, cumin, smoked paprika, garlic powder, onion powder, oregano, salt, pepper, and honey (if using). If the salsa is very thick, add the broth or water.
Combine: Pour the sauce over the chicken, turning the pieces once so they’re well coated.
Cook: Cover and cook on Low for 4–5 hours or High for 2 1/2–3 hours, until the chicken is fork-tender and easily shreds.
Shred: Transfer the chicken to a cutting board and shred with two forks. Return it to the slow cooker and stir to coat with the sauce.
Adjust: Taste and add a squeeze of fresh lime juice and a pinch of salt if needed.
If the sauce is thin, leave the lid off and cook on High for 10–15 minutes to thicken.
Serve: Spoon into tortillas, over rice, or on top of a salad. Add your favorite toppings like cilantro, onion, avocado, and a dollop of sour cream.