The fun of a bike race is between the starting line and the finish line. When you reach the finish line, the fun is over. Race for the fun of racing and not the glory of standing on a podium. You will enjoy your racing much more. Then, you would be amazed at how many people are actually afraid of winning because they know that, after they win one race, they will be expected to win the rest.
Some people are afraid of just having the attention that a race winner gets.
They so fear this kind of social pressure and stress that they will fake bike problems and fatigue to keep from winning. Others just get very stressed out. I have found that such people make excellent domestiques and are usually very happen working for others to win. They can be part of a winning team without the risk of losing because the team leader is ultimately responsible for making that winning move. A strong suggestion for anyone who is getting stressed out before or during a race is to race as a domestique for a while.