iPhone Emails will display at the iDrive screen only if the email notifications at the iPhone is changed manually after each pairing.
For example: if your current iPhone Notification Center setting for emails is "Show 5 Unread Items" then manually change it to "Show 10 Unread Items" after each pairing is completed.
-2015 F30 320i, Imperial/Oyster, 8AT, ED
-2012 E92 M3 Jerez Black/Rust Brown, M-DCT, ED: Gone
-2008 E90 M3 Melbourne Red/Bamboo, 6MT: Gone
-2007 MK5 GTI United Grey/Grey, DSG: Gone
-2004 E46 M3 Carbon Black/Cinnamon, 6MT: Gone