No, you should not have an issue with last years taxes if you recently changed your name. TurboTax is not connected to the IRS or state department(s) of revenue refund tracking tools. We don't receive real time updates from the IRS.
If you are concerned about the status of your taxes and you are past the 21 day mark you should call the IRS to see if they can provide you with any additional information.
https://ttlc.intuit.com/community/return-status/help/my-return-is-accepted-but-still-not-approved-is...
Please see the video below for more information:
https://www.youtube.com/watch?v=GVYONZQMhW0
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