In today's Gospel reading from Matthew 21, the chief priests and the elders of the people questioned Jesus' authority. (They were always trying to test or trap him.) Of course, the Lord knew exactly how to foil such attempts by turning the table on them.
Jesus, being Lord of all things, has full authority to do whatever he wishes. If we accept this, then we must accept all the teachings of his church, our Catholic Faith. If we do not accept certain teaching(s), then we basically pit our own "authority" against that of Jesus. To want to stand on the same side as the Lord, we have no choice but to obey all his teachings as taught through his church.