Congrats on your approval!
Discover sends usually pretty quickly with tracking number. I got it within 3 days.
If you have USPS Delivery Notifications, you should get an alert for it
I recently got my card. Don;t worry they didnt send me an email neither after approval and did not send me an email when my card was being sent. What you can do is just call them for a tracking number, the package is sent first class mail with tracking. I just kept calling asking for tracking, I believe the tracking was available the 2nd or 3rd day after I applied. They do send quick, I got mine no later than a week and this was with the weekend in the way, if you apply early in the weekday youll prob get it faster.
They are very good with giving you updates and handing you over the tracking number for your card, just follow up with them!
No, no emails which made me nervous too but it was real!