After you file

Amazon would not be sending your the gift card.  
As shown in the message you received it would have come from TPG and you should have contacted them at the email address or the phone number provided.
This is a Public user forum on the AnswerXchange and Not TurboTax support.  All of your personal identifying information was removed from your post for your protection.
A TurboTax Moderator who handles Amazon gift card issues has been notified.  They will reply back on this thread as soon as possible.