hotfoot vs shoot down

hotfoot is a noun but shoot down is not a noun.

Word	Noun	Adjective	Verb	Adverb
hotfoot	Yes	No	Yes	Yes
shoot down	No	No	Yes	No

As verbs, shoot down is a hyponym of hotfoot; that is, shoot down is a word with a more specific, narrower meaning than hotfoot:

Other hyponyms of hotfoot include barge, push forward, thrust ahead, buck, charge, shoot, tear, dart, dash, flash, scoot, scud, shoot.

hotfoot (noun)	shoot down (noun)
a practical joke that involves inserting a match surreptitiously between the sole and upper of the victim's shoe and then lighting it

hotfoot (verb)	shoot down (verb)
move hurridly	shoot at and force to come down
	move quickly and violently
	thwart the passage of

hotfoot (adverb)	shoot down (adverb)
without delay; speedily