There are people who feel "righteous" and others who just feel "right".
Righteousness is associated with pomposity, sometimes hypocrisy. It means whatever I have done was the right thing to do, just because I have done it. It is ego-based.
Rightness means I have felt inside me what was the right thing to do, I have acted accordingly, and my convictions have not changed immediately after seeing the reaction to my action. That gives a feeling of rightness filled with peace that can easily rise above others' opinions.
A person who feels rightness will not try to convince others about the reasons for their actions; approval of others is not so important.
