First, check your e-file status for the federal return using the TurboTax program.
Click on File at the top left of the desktop program screen
Then click on Electronic Filing>Check Electronic Filing Status
You should see that the Federal tax return was Accepted
If the Federal return has been Accepted -
Click on the File Tab at the top of the desktop program screen and Continue
Click on E-file and Continue
For the Federal tax return click on Do not e-file my federal return now and Continue
You should be able to e-file the state tax return.