lay reader vs layperson

lay reader and layperson both are nouns.

Word	Noun	Adjective	Verb	Adverb
lay reader	Yes	No	No	No
layperson	Yes	No	No	No

As nouns, layperson is a hypernym of lay reader; that is, layperson is a word with a broader meaning than lay reader:

lay reader: a layman who is authorized by the bishop to read parts of the service in an Anglican or Episcopal church
layperson: someone who is not a clergyman or a professional person

Other hypernyms of lay reader include layman, secular.

lay reader (noun)	layperson (noun)
a layman who is authorized by the bishop to read parts of the service in an Anglican or Episcopal church	someone who is not a clergyman or a professional person