wild carrot vs wild flower

wild carrot and wild flower both are nouns.

Word	Noun	Adjective	Verb	Adverb
wild carrot	Yes	No	No	No
wild flower	Yes	No	No	No

As nouns, wild flower is a hypernym of wild carrot; that is, wild flower is a word with a broader meaning than wild carrot:

wild carrot: a widely naturalized Eurasian herb with finely cut foliage and white compound umbels of small white or yellowish flowers and thin yellowish roots
wild flower: wild or uncultivated flowering plant

Other hypernyms of wild carrot include wildflower.

wild carrot (noun)	wild flower (noun)
a widely naturalized Eurasian herb with finely cut foliage and white compound umbels of small white or yellowish flowers and thin yellowish roots	wild or uncultivated flowering plant