You would not owe state tax if your Resident State (which is a little different than Home Of Record) is Texas.
As the Spouse of a Military Member, you may choose the same state of residency as your Military spouse claims.
If the Resident State for your Husband is Texas, you would not be liable for state income tax no matter where you earn that income.
If State tax was withheld, you could file to get that tax refunded. If filing Jointly, be sure to select that one of you are active military and your state of residence is Texas in the TurboTax software.
More Info
“Nonresident Spouse of a Servicemember. A nonresident spouse of a servicemember who is present in Hawaii solely to be with the servicemember serving in compliance with military or naval orders is not a Hawaii resident and will be treated as a nonresident unless the spouse establishes residence or domicile in Hawaii. A nonresident spouse of a servicemember is subject to Hawaii income tax on his or her Hawaii-sourced income. However, if the nonresident spouse satisfies the conditions prescribed under the SCRA (discussed in Part III of this TIR), then the nonresident spouse’s income from services performed in Hawaii is not considered Hawaii-sourced income and is not subject to Hawaii income tax or Hawaii withholding. If the nonresident spouse does not satisfy the conditions prescribed under the SCRA, then the nonresident spouse’s income from services performed in Hawaii is Hawaii-sourced income and is subject to Hawaii income tax and Hawaii withholding. A nonresident spouse with Hawaii sourced income is required to file Form N-15. A nonresident spouse with no Hawaii-sourced income is not required to file a Hawaii income tax return.”
“Income received by the servicemember’s civilian spouse for services performed by the servicemember’s spouse in Hawaii is not considered Hawaii-sourced income and therefore, not subject to Hawaii income tax if all of the following conditions are met
1. The servicemember (as defined in 10 U.S.C. §101(a)(5)) is present in Hawaii solely in compliance with military or naval orders;
2. The spouse is in Hawaii solely to be with the servicemember; and
3. The spouse and servicemember are domiciled in the same state and that state is not Hawaii.”
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