The choice isn’t between success and failure; it’s between choosing risk and striving for greatness, or risking nothing and being certain of mediocrity.
The best way to deal with this anxiety is to first acknowledge that our fear is perfectly normal. You are not alone. The second thing is to recognize that getting over that fear is critical to your success. The third is commit to getting better.
You’ll get comfortable with the idea of rejection. With that perspective, even failure becomes a step forward. Embrace it as learning.