This is a perfect way to give your child the sympathy they need to embrace their emotions, and the compassion they need to work through them. It's an excellent demonstration of balance, and can be a great resource for your child.
Dr. Westers suggests this to make sure our children don't avoid their emotions: "When we immediately rescue them from difficult emotions, you run the risk of impairing their ability to learn to experience and process natural emotions in a healthy way."