Wirelessly posted (Verizon 8830)
You can't temporarily stop the email unless your device is off and that mail will pop up as soon as the device is turned on.
As a compromise, to stop the buzzing, change your profile. Go to home screen and click "F" if you have a QWERTY keyboard and choose Advanced change your settings for another profile such as "Quiet".
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LET'S GO CANES!