oestrogen vs sex hormone

oestrogen and sex hormone both are nouns.

Word	Noun	Adjective	Verb	Adverb
oestrogen	Yes	No	No	No
sex hormone	Yes	No	No	No

As nouns, sex hormone is a hypernym of oestrogen; that is, sex hormone is a word with a broader meaning than oestrogen:

oestrogen: a general term for female steroid sex hormones that are secreted by the ovary and responsible for typical female sexual characteristics
sex hormone: any hormone affecting the development and growth of sex organs

Other hypernyms of oestrogen include steroid, steroid hormone.

oestrogen (noun)	sex hormone (noun)
a general term for female steroid sex hormones that are secreted by the ovary and responsible for typical female sexual characteristics	any hormone affecting the development and growth of sex organs