Callback Method if user declines Push Notification Prompt?

You can always get current allowed notification types from:

UIRemoteNotificationType notificationTypes = [[UIApplication sharedApplication] enabledRemoteNotificationTypes];

Keep in mind user can also disable notification in phone settings.

If you check that on didRegisterForRemoteNotificationsWithDeviceToken you should see if types you asked for are enabled.

In iOS 7, when the system's push notification prompt appears, the app becomes inactive and UIApplicationWillResignActiveNotification fires. Similarly when the user responds to the prompt (pressing either Yes or No), the app becomes active again and UIApplicationDidBecomeActiveNotification fires.

So you can listen for this notification, and then hide your loading screen.

Note: While the prompt is displayed, the Home button, Notification Center, and Control Center are disabled so they cannot trigger a false-positive UIApplicationDidBecomeActiveNotification. However if the user presses Lock button it will trigger UIApplicationDidBecomeActiveNotification.