Combine salsa, cream cheese, cheddar, and chicken broth in a blender (or with an immersion blender), until smooth.
Pour into a medium saucepan and heat over medium or medium-low heat until hot, but not boiling. Add the shredded chicken and cook for an additional 3-5 minutes, until heated through.
Serve warm and garnish with additional shredded cheese, chopped cilantro, or green onions.