In a large skillet, heat the olive oil over medium heat. Add the sliced onions and sauté for about 5 minutes until they become soft and translucent. Add the minced garlic and cook for an additional minute until fragrant.
Stir in the chopped chipotle peppers, adobo sauce, chicken bouillon, oregano, cumin, salt, coriander, and smoked paprika. Cook for 1-2 minutes, allowing the spices to toast slightly and enhance their flavors.
Pour in the fire-roasted diced tomatoes with their juices and the diced green chiles. Stir everything together until well combined.
Fold in the shredded rotisserie chicken, making sure it is well coated in the sauce. Reduce the heat to low and allow the mixture to simmer for about 10-15 minutes. This will help the chicken absorb all the delicious flavors.
Taste the Tinga Chicken and adjust the seasoning as needed, adding more adobo sauce for extra heat or salt for flavor.
Remove from heat and serve immediately. Tinga Chicken is fantastic in tacos, on top of rice, or even by itself with a sprinkle of fresh cilantro and a squeeze of lime.