English daisy vs daisy

English daisy and daisy both are nouns.

Word	Noun	Adjective	Verb	Adverb
English daisy	Yes	No	No	No
daisy	Yes	No	No	No

As nouns, daisy is a hypernym of English daisy; that is, daisy is a word with a broader meaning than English daisy:

English daisy: low-growing Eurasian plant with yellow central disc flowers and pinkish-white outer ray flowers
daisy: any of numerous composite plants having flower heads with well-developed ray flowers usually arranged in a single whorl

English daisy (noun)	daisy (noun)
low-growing Eurasian plant with yellow central disc flowers and pinkish-white outer ray flowers	any of numerous composite plants having flower heads with well-developed ray flowers usually arranged in a single whorl