To see a fairy in your dream indicates that you are in search of some help or advice for a problem or decision, but may not want to directly admit you need help. In particular, if the fairy is evil, then it suggests that an aspect of yourself needs to be set free. The fairy is also symbolic of your soul and the feminine aspects of yourself.
Dreaming that a fairy is pushing the moon means that you should not underestimate yourself. It is time to start doing and making things happen.