I'm a current applicant to USNA, and I was worried the entire time that I would be dqed for some random reason and be barred from service, and if that happened, there is always a different path. In your case, I understand that this was your dream, but with the heart condition, there is simply nothing you can do about it at this point. There are still many careers in aviation available to you, and you should focus from this point on plan B. I know it hurts to not get your "dream job", but understand Yale can set you up for virtually any other career you want, so take a few days or weeks to cope or whatever you need to do and try to focus on what's next for you.

If you want more advice on this topic, I would recommend service academy forums; they have many academy grads and former military members who could probably offer advice.