A TD holder is not authorized to work in the United States, and that does not change because the work is remote, performed for a foreign employer, or unpaid in appearance. A spouse planning to continue existing duties from a United States location needs individual advice first.
Treat the spouse's arrangement as its own question
Households frequently assume that a laptop and a foreign payroll place the work outside the picture. That assumption is exactly what should be checked, because the analysis is not settled by who issues the paycheque. Raise the spouse's actual arrangement, employer, duties, and location with counsel at the same time as the principal's case, since discovering a problem after the move is much harder to fix.
TD is available to the spouse and unmarried children under 21 of a TN professional, and it allows study but not employment. TD eligibility rests on the relationship: a spouse, or an unmarried child under 21. If dependents also move back and forth, each has an individual admission record with its own end date, which will not necessarily match the principal's. TD status permits accompanying the principal and permits study, but it does not authorize employment, whatever the spouse’s previous experience or qualifications.