Heat olive oil in a large pot over medium heat.
Add diced onion and jalapeño and cook until softened, about 5 minutes.
Stir in minced garlic, chili powder, cumin, garlic powder, onion powder, Tajín, and optional rehydrated chiles. Cook 1–2 minutes.
Add frozen sweet corn and roasted corn. Stir to coat.
Place chicken breasts in the pot and pour in chicken broth to cover. Simmer 15–18 minutes, or until chicken is fully cooked.
Remove chicken and shred with two forks. Set aside.
Turn off heat. Ladle 2 cups of soup (including corn and chiles) into a blender or hand blender with the sour cream. Let cool slightly before blending. Blend until smooth.
Return blended mixture and shredded chicken to the pot. Stir to combine.
Season with more salt if needed. Serve hot topped with cheese, cilantro, and lime. Add tortilla chips on the side.