misdemeanor vs criminal offence

misdemeanor and criminal offence both are nouns.

Word	Noun	Adjective	Verb	Adverb
misdemeanor	Yes	No	No	No
criminal offence	Yes	No	No	No

As nouns, criminal offence is a hypernym of misdemeanor; that is, criminal offence is a word with a broader meaning than misdemeanor:

misdemeanor: a crime less serious than a felony
criminal offence: (criminal law) an act punishable by law; usually considered an evil act

Other hypernyms of misdemeanor include crime, criminal offense, law-breaking.

misdemeanor (noun)	criminal offence (noun)
a crime less serious than a felony	(criminal law) an act punishable by law; usually considered an evil act