running away vs deed

running away and deed both are nouns.

Word	Noun	Adjective	Verb	Adverb
running away	Yes	No	No	No
deed	Yes	No	No	No

As nouns, deed is a hypernym of running away; that is, deed is a word with a broader meaning than running away:

running away: the act of leaving (without permission) the place you are expected to be
deed: something that people do or cause to happen

Other hypernyms of running away include act, human action, human activity.

running away (noun)	deed (noun)
the act of leaving (without permission) the place you are expected to be	something that people do or cause to happen
	a legal document signed and sealed and delivered to effect a transfer of property and to show the legal right to possess it