Make your chicken salad. In a medium-large bowl, add your arugula, chicken, cucumber, tomatoes, carrot, roasted red peppers, goat cheese, olive oil, balsamic vinegar, salt, and pepper. Mix well to combine.
Heat your tortilla. Heat a large nonstick skillet over medium-low heat. Add your wrap and let it warm through, about 30-60 seconds per side.
Wrap. Spread your hummus on the bottom third of the tortilla. Add your chicken salad mixture on top. Using both hands, fold in the left and right sides towards the center. Using your thumbs, grab the bottom and fold it over the top of your ingredients, keeping the left and right sides tucked underneath it. Continue to roll to seal.
Heat (optional). Add your wrap to a heated nonstick skillet to help seal it.
Enjoy! Slice in half, serve with any sides you like, and enjoy!