Paying the fee does not file your return. You have to go all the way through the FILE section and e-file by clicking a big orange button.
Did you e-file? Did you click a big orange button that said “Transmit my returns now?”
What does it say here:
When you e-file your federal return you will receive two emails from TurboTax. The first one will say that your return was submitted. The second email will tell you if your federal return was accepted or rejected. If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return
If the IRS accepted it, what does it say here?
https://www.irs.gov/refunds Or does your account say “Ready to Mail?”