Made a typo on an application, realized it the instant I hit send.
I did this, too, leaving out a word on a couple of emails. But life goes on. As long as it's just a typo typo, a lot of times people don't catch that.
The worst feeling was when I was sending out a *networking* email, and I was just copying from one I had sent a few weeks ago. As soon as I hit send, I realized I hadn't changed the goddamn name in the salutation. I had all of the worst feelings hit me at once. It wasn't even a particularly important networking email, but doing something like that looks so incredibly sloppy that I couldn't breathe for a few seconds.
And then the most amazing thing happened. The email bounced. I've never in my life been happier to see a bounced email.
So, yea, you're fine. Trust me. Worse things can and do happen.