Did you efile? Was your state return Accepted? Or did you print and mail it? 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?
Check for a state refund https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571
