midwifery vs medical specialty

midwifery and medical specialty both are nouns.

Word	Noun	Adjective	Verb	Adverb
midwifery	Yes	No	No	No
medical specialty	Yes	No	No	No

As nouns, medical specialty is a hypernym of midwifery; that is, medical specialty is a word with a broader meaning than midwifery:

midwifery: the branch of medicine dealing with childbirth and care of the mother
medical specialty: the branches of medical science that deal with nonsurgical techniques

Other hypernyms of midwifery include medicine.

midwifery (noun)	medical specialty (noun)
assisting women at childbirth	the branches of medical science that deal with nonsurgical techniques
the branch of medicine dealing with childbirth and care of the mother