How to Disable Priority Mail for the Gmail App for Androidby Laurel Storm
Gmail's priority inbox feature can help you determine which messages require your immediate attention and which can wait. Having it show up when you check your mail on your Android phone or tablet, however, can make you miss important messages. While there is no way to completely remove the priority inbox from Gmail, you can ensure you see the default inbox view rather than the priority one when you open the Gmail application.
Open the Gmail application and touch your device's "Menu" button.
Tap "Settings." Depending on the version of Android your device is running, you may need to tap "More" to display this option. Tap the account for which you want to disable the priority inbox.
Tap "Priority Inbox" to deactivate the feature. The change is automatically saved. Touch your device's "Back" button twice to return to the Gmail app.
Select "Inbox" from the list of labels to switch back to the default inbox.