Why is this tale considered a fairy tale?

In the first paragraph of introduction, we are told that the tale contains "strange beings that are frequently found in the wilderness of this region....super-natural creatures." Right off the bat we are introduced to the fact there are fantastical creatures in this tale. This right here is an element that is found in fairy tales. Once the actual story starts, we are again presented with an element of fairy tales. "At one time there was a naked saint who lived in a remote cave near a small river." This starts the tale at an ambiguous place in time as well as with an ambiguous character and ambiguous setting. This piece further adds to the thought that this tale can be considered a fairy tale. Fairy tales are known for fantastical creatures, ambiguous time and setting, as well as magical elements of transformation. This third element presents itself first when the two lovers souls are transformed by the moonlight. Then, the singing transforms the naked saint back into a human. It even said that the singing broke the "magic spell." The overall trajectory of this tale also stays true to that of fairy tales. It starts off in the time and setting, moves through to the creature and his issues, and then is transformed by lovers that break the magical spell.