Is a woman obligated to uphold the ties of kinship (silat ar-rahim), and is her father's upholding of kinship ties sufficient for her own?

The discourse on maintaining kinship ties is comprehensive, encompassing both men and women. It is an individual obligation upon every accountable person. Your father's maintaining of kinship ties does not negate your obligation to do so, even if they are the same relatives your father connects with. Therefore, be diligent in maintaining ties with all your relatives, and beware of severing them.