fate vs ordain

fate is a noun but ordain is not a noun.

Word	Noun	Adjective	Verb	Adverb
fate	Yes	No	Yes	No
ordain	No	No	Yes	No

As verbs, ordain is a hypernym of fate; that is, ordain is a word with a broader meaning than fate:

fate (noun)	ordain (noun)
an event (or a course of events) that will inevitably happen in the future
the ultimate agency regarded as predetermining the course of events
your overall circumstances or condition in life (including everything that happens to you)

fate (verb)	ordain (verb)
decree or designate beforehand	issue an order
	appoint to a clerical posts
	order by virtue of superior authority; decree
	invest with ministerial or priestly authority