I accidentally deleted the Team Provisioning Profile:* in the Provisioning Portal, what should I do now? :/
In September 2015, I fixed this by launching Xcode 6 and creating a new project. I followed this guidance from Apple's troubleshooting documentation, and it fixed my problem:
If a warning message and Fix Issue button appear below the Team pop-up menu in the General pane or in a section of the Capabilities pane in the project editor, read the message and click the Fix Issue button.
I now have a wildcard team provisioning profile back in the developer portal.
In Xcode 4.6, Organizer > Teams > Refresh did it for me. None of the answers above seemed to help. Specifically, refreshing in the Profiles section or Add to Portal in the device section did not work.
This also, finally, managed to add devices to the Team profile that I had entered manually.