ill luck vs destiny

ill luck and destiny both are nouns.

Word	Noun	Adjective	Verb	Adverb
ill luck	Yes	No	No	No
destiny	Yes	No	No	No

As nouns, destiny is a hypernym of ill luck; that is, destiny is a word with a broader meaning than ill luck:

ill luck: an unfortunate state resulting from unfavorable outcomes
destiny: your overall circumstances or condition in life (including everything that happens to you)

Other hypernyms of ill luck include circumstances, fate, fortune, lot, luck, portion.

ill luck (noun)	destiny (noun)
an unfortunate state resulting from unfavorable outcomes	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)