Do you think things should be changed on the basis you were offended by it?

I hear all too often people saying that they were offended by something and assuming it should be changed/stopped because they were so, as if that gives them more rights because they were offended.
I could be offended at a man swearing or two men kissing its doesn’t mean it should be stopped because I was so, but based on what happened, without logical reasons I will not take them seriously.