put down vs shoot

put down is not a noun while shoot is a noun.

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

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

put down (noun)	shoot (noun)
	the act of shooting at targets
	a new branch

put down (verb)	shoot (verb)
put down in writing; of texts, musical compositions, etc.	give an injection to
make a record of; set down in permanent form	produce buds, branches, or germinate
put in a horizontal position	measure the altitude of by using a sextant
remove (cargo, people, etc.) from and leave	record on photographic film
cause to sit or seat or be in a settled position or place	make a film or photograph of something
put (an animal) to death	utter fast and forcefully
reduce in worth or character, usually verbally	fire a shot; release
cause to come to the ground	hit with a missile from a weapon
	score
	spend frivolously and unwisely
	force or drive (a fluid or gas) into by piercing
	throw or propel in a specific direction or towards a specific objective
	throw dice, as in a crap game
	variegate by interweaving weft threads of different colors
	run or move very quickly or hastily
	move quickly and violently
	send forth suddenly, intensely, swiftly
	cause a sharp and sudden pain in
	kill by firing a missile
	emit (as light, flame, or fumes) suddenly and forcefully