Did you efile the state? Was it Accepted? Maybe you didn't finish filing it. Was your state return Accepted? Double check your efile status here
https://turbotax.intuit.com/tax-tools/efile-status-lookup
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 for state?
If it says anything other than Accepted then it wasn’t filed.
Federal and state refunds come from completely separate entities, There is no rule as to which one will come first or how much time there will be between their arrivals. Some states process returns quickly and some are very slow.
STATE RETURN
Make sure your state return was accepted: https://turbotax.intuit.com/tax-tools/efile-status-lookup/
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund