TurboTax fees are never taken out of a state refund. The fees can only be deducted from your federal refund. If you chose that option, you wait until the the IRS issues your refund to the third party bank, and then it may take another day or two for the refund to post to your own account.
How can I see my TurboTax fees?
https://ttlc.intuit.com/questions/2565973-how-do-i-review-my-fees-in-turbotax-online
What is Refund Processing Service?
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