fairy godmother vs faerie

fairy godmother and faerie both are nouns.

Word	Noun	Adjective	Verb	Adverb
fairy godmother	Yes	No	No	No
faerie	Yes	No	No	No

As nouns, faerie is a hypernym of fairy godmother; that is, faerie is a word with a broader meaning than fairy godmother:

fairy godmother: a female character in some fairy stories who has magical powers and can bring unexpected good fortune to the hero or heroine
faerie: a small being, human in form, playful and having magical powers

Other hypernyms of fairy godmother include faery, fairy, fay, sprite.

fairy godmother (noun)	faerie (noun)
a female character in some fairy stories who has magical powers and can bring unexpected good fortune to the hero or heroine	the enchanted realm of fairies
a generous benefactor	a small being, human in form, playful and having magical powers