Maybe. It will depend on your remaining income, for example, if that Oklahoma income is combined with other self-employment income in order to derive a final total. If your final total is a net gain related to that income, the safe course would be to file an Oklahoma return. Your Oklahoma income could be determined by the following formula: divide the Oklahoma gross income by the total gross income reported on that Schedule C, and multiply that result by the net income. That result is what you would allocate to Oklahoma.
I recommend preparing an Oklahoma return first in TurboTax, because KY will give you a credit for any tax you pay to Oklahoma. Preparing the OK return first allows the credit to transfer over to the KY return.
And if your OK tax is $0, you won't need to file. You can delete the return, which can be done using the following instructions (in TurboTax Online): https://ttlc.intuit.com/replies/3301384
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