offence vs slight

offence and slight both are nouns.

Word	Noun	Adjective	Verb	Adverb
offence	Yes	No	No	No
slight	Yes	Yes	Yes	No

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

offence: a lack of politeness; a failure to show regard for others; wounding the feelings of others
slight: a deliberate discourteous act (usually as an expression of anger or disapproval)

Other hyponyms of offence include derision, ridicule, indelicacy, insolence, affront, insult, presumption, rebuff.

offence (noun)	slight (noun)
the action of attacking an enemy	a deliberate discourteous act (usually as an expression of anger or disapproval)
a transgression that constitutes a violation of what is judged to be right
a lack of politeness; a failure to show regard for others; wounding the feelings of others
a feeling of anger caused by being offended
the team that has the ball (or puck) and is trying to score

offence (adjective)	slight (adjective)
	(quantifier used with mass nouns) small in quantity or degree; not much or almost none or (with `a') at least some
	lacking substance or significance
	being of delicate or slender build

offence (verb)	slight (verb)
	pay no attention to, disrespect