Joe and Kathy are married and domiciled in California. Joe works full$-$time in Arizona and has nonresident status while Kathy remains a California resident. Joe earned $$66,000$ in $2023$ and Kathy earned $$32,000.$ Which of the following statements is true with respect to Kathy and Joe?

A$.$ Kathy need only pay California income tax on her earnings of $$32,000$

B$.$ Kathy must pay income tax on all of her earnings plus one$-$half of Joe$$s earnings based on community income

C$.$ Kathy must pay California income tax on all of her earnings plus all of Joe$$s earnings based on community income

D$.$ Kathy has no California filing obligation because of her husband$$s nonresident status