The question of dealing with doubt was present to Thai Buddhist monk Ajahn Chah. His answer is insightful:
"Doubting is natural. Everyone starts out with doubts. You can learn a great deal from them. What is important is that you don’t identify with your doubts: that is, don’t get caught up in them. This will spin your mind in endless circles. Instead, watch the whole process of doubting, of wondering. See who it is that doubts. See how doubts come and go. Then you will no longer be victimized by your doubts. You will step outside of them and your mind will be quiet. You can see how all things come and go. Just let go of what you are attached to. Let go of your doubts and simply watch. This is how to end doubting."