Do you mean the state Refund?
Was your state return Accepted? Or did you mail it? When you efile you get back 2 emails. The first email only confirms the transmission. The second email says if the IRS (or state) Accepted or Rejected your efile. Just paying the fee doesn't file the return. After you paid did you continue on to the very end and hit the big orange Transmit Returns Now button?
When you log into your account you should see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc. what does it say?
State and federal refunds are processed by two different agencies. See the Turbo Tax FAQ below for more information regarding How to track my state refund. You will need to click on your state and follow that path to reach out to your local state agency regarding your refund from last year.