ill health vs trauma

ill health and trauma both are nouns.

Word	Noun	Adjective	Verb	Adverb
ill health	Yes	No	No	No
trauma	Yes	No	No	No

As nouns, trauma is a hyponym of ill health; that is, trauma is a word with a more specific, narrower meaning than ill health:

ill health: a state in which you are unable to function normally and without pain
trauma: any physical damage to the body caused by violence or accident or fracture etc.; the condition of an injury

ill health (noun)	trauma (noun)
a state in which you are unable to function normally and without pain	an emotional wound or shock often having long-lasting effects
	any physical damage to the body caused by violence or accident or fracture etc.; the condition of an injury