predicament vs difficultness

predicament and difficultness both are nouns.

Word	Noun	Adjective	Verb	Adverb
predicament	Yes	No	No	No
difficultness	Yes	No	No	No

As nouns, difficultness is a hypernym of predicament; that is, difficultness is a word with a broader meaning than predicament:

predicament: a situation from which extrication is difficult especially an unpleasant or trying one
difficultness: the quality of being almost beyond one's ability to deal with and requiring a great effort to achieve a positive result

Other hypernyms of predicament include difficulty.

predicament (noun)	difficultness (noun)
a situation from which extrication is difficult especially an unpleasant or trying one	the quality of being almost beyond one's ability to deal with and requiring a great effort to achieve a positive result