You have a set of values. Others have their own set. But what happens when these conflict? What would you do if your values would lead you to do something that would "hurt" another? You could compromise your values and maintain peace or you could maintain integrity and cause harm.
My gut reaction is to evaluate your values first and if you still believe them to be correct, then you should opt to maintain integrity. It's not an easy choice though.
A hypothetical to evaluate nuances will follow.