Yes, I have the Apple Mail app set to push the e-mails with both audible and text notifications... but they don't download and appear until I unlock the phone and enter the app. For instance the last time I opened the app it said the last update was 20 minutes ago when there were e-mails waiting to be downloaded. This is a real problem these days awaiting covid vaccine availability notifications from sources that use e-mail and not SMS. The appointments are gone before I even see the e-mails. Is there a fix for this? or do I need use a different app? Oh, the e-mail account in question is Comcast set to imap.