"Relative impunity" means being able to do something without facing serious consequences, compared to others who may face harsher consequences for the same action. Full definition
Promiscuity can be indulged with relative impunity by the rich and famous, but it is utterly destructive for the poor. (firstthings.com)
The Kaduna State governor has been accused of trying to restrict press freedom and silence voices that draw attention to violence in southern Kaduna, where for over a year Fulani herder militia have attacked communities, killing over 800 people and seizing land and property with relative impunity. (premierchristianity.com)
Just so, Sebastian Castellio's interpretation of the Song of Songs did not please the ministers of Geneva, but he fled to Basel, where he was appointed professor of Greek and published many works, including some against Calvin and Beza, with relative impunity, which added to the tension between the two cities. (firstthings.com)