Hi there,
nice to read you got better!
To be fair to all users, we now strictly let people in that registered on beta.teamspeak.com in the order they registered. Check out Closed beta access to read more about that and actually your case, too (because there are more people like you who have missed redeeming that badge on time).
We started to let more people in quite frequently (as announced on twitter for example), so don’t worry it would take as much time for you to get in as it had before. In contrast to the sent out emails, we will unlock every single account that has opted in. So even if you’d miss an email or would be unavailable for quite some time, your account will have that badge and beta access (and as you have already logged in on that site, you are on that list).
So please just a little patience, you’ll get in!