Federal and state are completely separate and come at different times. When did you file? If you efiled was the state return Accepted?
How to check your efile status
https://ttlc.intuit.com/turbotax-support/en-us/help-article/electronic-filing/check-e-file-status/L9...
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.
When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc. What does it say?
Then only the state can tell you when you will get your refund. After Turbo Tax transmits your return they are done with their part. Track State Refund
https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571
