entree vs doorway

entree and doorway both are nouns.

Word	Noun	Adjective	Verb	Adverb
entree	Yes	No	No	No
doorway	Yes	No	No	No

As nouns, doorway is a hyponym of entree; that is, doorway is a word with a more specific, narrower meaning than entree:

entree: something that provides access (to get in or get out)
doorway: the entrance (the space in a wall) through which you enter or leave a room or building; the space that a door can close

entree (noun)	doorway (noun)
an entrance, especially a theatrical entrance onto a stage or as if onto a stage	the entrance (the space in a wall) through which you enter or leave a room or building; the space that a door can close
something that provides access (to get in or get out)
the right to enter
the principal dish of a meal