How can a wife please her Lord, care for her mother, please her husband, and live a normal life, given her mother's illness coinciding with her short stay with her husband?

A wife's dutifulness to her sick mother is obligatory, but it does not necessitate her staying with her mother and abandoning her husband's home. She can combine dutifulness to her mother with returning to her husband's home by inquiring about her mother and visiting her whenever possible, helping her with her money if she can, and cooperating with her siblings in caring for her, even if that means hiring a maid or a nurse.