Preheat oven to 400°F and line a baking sheet with parchment paper.
Toss broccoli florets with a teaspoon of the olive oil, salt, and pepper, then roast until edges are charred.
Season the chicken breast with salt and pepper, then grill over medium-high heat until cooked through.
In a small bowl, whisk together the remaining olive oil, honey, Dijon mustard, and a splash of lemon juice or vinegar to create the dressing.
Slice the grilled chicken into strips.
In a large bowl, combine the mixed greens, shredded carrots, and red onion.
Top the greens with the roasted broccoli and grilled chicken, then drizzle with the zesty honey mustard dressing before serving.