There's no credit for hurricane doors/ shutters specifically.
The door(s) may qualify under the Energy Efficient Home Improvement Credit. See this article for a summary of the credit: Energy Efficient Home Improvement Credit (EEHIC).
Here is where to find the EEHIC entry in TurboTax Online:
1. Upon opening TurboTax, navigate to Federal > Deductions & Credits
2. Locate Your Home
3. Start/Revisit Home Energy Credits
4. On the Energy Efficient Home Improvements screen, select Yes then Continue through the interview.
