You do not pay Oklahoma income tax on income you earn in Oklahoma if you are the nonresident spouse of a nonresident service member who is stationed here on orders.
File the Oklahoma Tax Commission Annual Withholding Tax Exemption Certification for Military Spouse (Form OW-9-MSE) with your employer so Oklahoma tax is not withheld.
Your service member spouse's orders assigning them to Oklahoma, proof that you and your spouse share the same state of residency, and your marriage certificate.