You missed the point... It's not that the NSA can't look you up, it's your site has made it so that ANYONE, even a bored ten year old, could look up your email. That should be a cause for concern especially if your email is connected to your personal info (and a lot of people's emails are thanks to email providers and websites selling out your information).
I urge you to update the email recovery system; I've personally seen what happens when malicious or bored kids with nothing better to do exploit the system and troll via prank calls, sending a dozen pizzas to someone's address, etc.