State fee? Are you asking about paying a fee to TurboTax? Or are you asking how to pay tax due to your state?
If you mean TurboTax fees:
https://ttlc.intuit.com/questions/1901301-what-forms-of-payment-does-turbotax-online-accept
If you mean tax owed to your state:
You must pay your state tax due using the state’s preferred method of receiving payment. For most states that will be by making a payment to the state’s own tax website, or by mailing a check or money order.
https://ttlc.intuit.com/questions/1900884-what-are-my-options-for-getting-my-state-refund-or-for-pay...
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
