In the following sentence which of the two words would be more idiomatic to say either distort or denounce
It is unreasonable to ______ the statement of a man simply because he does not agree to your opinions
Distort and denounce mean completely different things. If you mean "change the meaning" say "distort". If you mean "declare to be evil" say "denounce".
I think "denounce" is the better word. It is never reasonable to distort another person's statement.