Believe it or not, a saturated market can be a good thing. It means there already is a high demand for what you offer. The key to overcoming a crowded market is learning how to market outside of it.
Instead of thinking of yourself as one in a million, think about how you can be a new idea to billions of people. Picture yourself telling everyone in the world about your product right now, even after removing all the people who were not interested, you would still never be able to keep up with the demand of the people left who were interested.
You can learn to use competition as an advantage. It will cause you to focus and refine your product much more efficiently than if you were not faced with any competition.