Check with your bank, some banks don't post direct deposits immediately. Does the account it's supposed to go into have your name on it? Most banks won't post a direct deposit to an account if the names don't match. If the bank has returned it to the state they will most likely issue a paper check and mail it to the address you provided on your return. Once the IRS or State accepts your return, TurboTax is no longer kept in the loop as far as what happens with those returns or refunds.
Here is help for contacting your State Department of Revenue:
https://ttlc.intuit.com/replies/3302452
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