lollipop woman vs lollipop lady

lollipop woman and lollipop lady both are nouns.

Word	Noun	Adjective	Verb	Adverb
lollipop woman	Yes	No	No	No
lollipop lady	Yes	No	No	No

As nouns, lollipop woman and lollipop lady are synonyms defined as:

lollipop woman and lollipop lady: a woman hired to help children cross a road safely near a school

lollipop woman (noun)	lollipop lady (noun)
a woman hired to help children cross a road safely near a school	a woman hired to help children cross a road safely near a school