metrorrhagia vs bleeding

metrorrhagia and bleeding both are nouns.

Word	Noun	Adjective	Verb	Adverb
metrorrhagia	Yes	No	No	No
bleeding	Yes	No	No	No

As nouns, bleeding is a hypernym of metrorrhagia; that is, bleeding is a word with a broader meaning than metrorrhagia:

metrorrhagia: bleeding from the uterus that is not due to menstruation; usually indicative of disease (as cervical cancer)
bleeding: the flow of blood from a ruptured blood vessel

Other hypernyms of metrorrhagia include haemorrhage, hemorrhage.

metrorrhagia (noun)	bleeding (noun)
bleeding from the uterus that is not due to menstruation; usually indicative of disease (as cervical cancer)	the flow of blood from a ruptured blood vessel