suffering vs discomfort

suffering and discomfort both are nouns.

Word	Noun	Adjective	Verb	Adverb
suffering	Yes	Yes	No	No
discomfort	Yes	No	No	No

As nouns, discomfort is a hyponym of suffering; that is, discomfort is a word with a more specific, narrower meaning than suffering:

Other hyponyms of suffering include agony, torment, torture, throes, irritation, soreness.

suffering (noun)	discomfort (noun)
feelings of mental or physical pain	an uncomfortable feeling of mental painfulness or distress
psychological suffering	the state of being tense and feeling pain
a state of acute pain
misery resulting from affliction

suffering (adjective)	discomfort (adjective)
troubled by pain or loss
very unhappy; full of misery