Those who seek to make Jesus and His gospel relevant to their culture must change both the character of Christ and the message of His gospel to do it. For Jesus and His Gospel have never been relevant and never will be relevant to a God-hating, gospel-loathing world.
Jesus wasn't relevant in the eyes of His culture. He was so irrelevant they murdered Him to be rid of Him and His message.
Not a single martyr, from ages past to the era of persecution in which we now live, was ever deemed relevant by their culture. They were reviled and murdered because of their love for Christ and the gospel they preached.
If your goal is to be seen as relevant to the lost, then you must become irreverent to Jesus Christ to do it.
Stop thinking this way. Repent. Preach Christ and Him crucified. Worry not about your relevance in the eyes of men. Concern yourself with your reverence for Christ and your faithfulness to His gospel.