offensiveness vs distastefulness

offensiveness and distastefulness both are nouns.

Word	Noun	Adjective	Verb	Adverb
offensiveness	Yes	No	No	No
distastefulness	Yes	No	No	No

As nouns, offensiveness and distastefulness are synonyms defined as:

Other synonyms of offensiveness include odiousness.

offensiveness (noun)	distastefulness (noun)
the quality of being offensive	the quality of being offensive
	extreme unpalatability to the mouth