woman's doctor vs gynecologist

woman's doctor and gynecologist both are nouns.

Word	Noun	Adjective	Verb	Adverb
woman's doctor	Yes	No	No	No
gynecologist	Yes	No	No	No

As nouns, woman's doctor and gynecologist are synonyms defined as:

Other synonyms of woman's doctor include gynaecologist.

woman's doctor (noun)	gynecologist (noun)
a specialist in gynecology	a specialist in gynecology