I'd also be afraid that once someone saw me make a mistake, that person wouldn't trust me any longer. The time and energy that I wasted agonizing over what were almost always minor mistakes could have been spent much more effectively on pursuits other than making myself miserable. First off, they help me to learn. As a teacher, it's very important for me to know what goes into a mistake, both for my sake and for the sake of anyone that I'm able to teach about mistakes. Secondly, mistakes keep me humble, for they always provide me with an opportunity to offer a heartfelt apology.
Apologies are an invitation for forgiveness, and forgiveness is a positive aspect of anyone's life.
Once I apologize for a mistake I've made, my relationship with the other person or people strengthens, as long as the other parties are willing to accept the apology. I no longer agonize over mistakes, and I recognize now just how harmful my own thoughts were when I used to do that. I kind of wish that I had some of the lost time and energy back, but I know that the agonizing was another mistake, one that took me a little bit longer to learn from. When you do make them, learn from them, and accept them as a part of your life, a part of who you are and who you'll be. My guess is that nobody gets through this life without making an extremely high number of mistakes, and you're no exception.