Set a medium sauce pot over medium-high heat. Add the quinoa and broth. Cover and bring to a simmer. Lower the heat if needed, and simmer about 15 minutes. Then remove from heat and let the quinoa sit, covered, for another 5 minutes. Fluff with a fork.
Next preheat the grill (or a grill pan) to medium. Salt and pepper the chicken breasts liberally. Once the grill is hot, grilled for 5 minutes per side. Allow the chicken to rest at least 5 minutes. Then slice.
For the Romesco Sauce: Place the drained peppers, nuts, garlic, sherry, olive oil, and smoked paprika in a food processor. Puree until smooth. Then taste and salt and pepper as needed.
To Assemble: Divide the quinoa between four bowls. Add a large handful of baby kale to each bowl and top with sliced grilled chicken. Dollop Romesco Sauce over the chicken. Then top each bowl with sliced avocado and olives.