lady palm vs palm tree

lady palm and palm tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
lady palm	Yes	No	No	No
palm tree	Yes	No	No	No

As nouns, palm tree is a hypernym of lady palm; that is, palm tree is a word with a broader meaning than lady palm:

lady palm: any of several small palms of the genus Rhapis; cultivated as houseplants
palm tree: any plant of the family Palmae having an unbranched trunk crowned by large pinnate or palmate leaves

Other hypernyms of lady palm include palm.

lady palm (noun)	palm tree (noun)
any of several small palms of the genus Rhapis; cultivated as houseplants	any plant of the family Palmae having an unbranched trunk crowned by large pinnate or palmate leaves