affliction vs health problem

affliction and health problem both are nouns.

Word	Noun	Adjective	Verb	Adverb
affliction	Yes	No	No	No
health problem	Yes	No	No	No

As nouns, health problem is a hypernym of affliction; that is, health problem is a word with a broader meaning than affliction:

affliction: a condition of suffering or distress due to ill health
health problem: a state in which you are unable to function normally and without pain

Other hypernyms of affliction include ill health, unhealthiness.

affliction (noun)	health problem (noun)
a cause of great suffering and distress	a state in which you are unable to function normally and without pain
a condition of suffering or distress due to ill health
a state of great suffering and distress due to adversity