Prepare the dressing by placing the pitted avocado, lime juice, lemon juice, olive oil, and salt in a blender. Blend the ingredients together on the puree setting, and add water until the avocado dressing starts to liquify. The dressing will still be thick - the consistency will be similar to mayonnaise.
To prepare the quinoa bowl, rinse the broccoli and place it in a bowl still wet. Microwave for 1 minute to soften the broccoli. Then add the quinoa and chicken to the bowl, and microwave for another minute.
Add beans, tomatoes, toasted pine nuts, 3 tablespoons avocado dressing, and cheddar to the quinoa bowl and eat.