woman's doctor vs gynaecologist

woman's doctor and gynaecologist both are nouns.

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

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

Other synonyms of woman's doctor include gynecologist.

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