I have a LOA and a nomination. The only part of my app remaining is the CFA. However, it is definitely going to be the weakest portion of my application. I know that USAFA does not publish minimums, but are there actually minimums? I feel that if I am a strong candidate in that the rest of my application is strong, it's just that I know I will not do well on the CFA. If I have an LOA, is it possible for me to lose it and not receive an appointment solely from a bad CFA score?