Not in TD status. A TD spouse may live in the United States and study but has no employment authorization, and holding a nursing qualification does not change that. The spouse would need a TN or another category in his own right.
The spouse's licence does not travel with the principal's status
TD is a dependent classification for the spouse and unmarried children under 21 of a TN professional. It permits residence and full-time or part-time study but never employment, whether paid hourly, paid from Canada or described as occasional help. A spouse who is himself a Canadian citizen and a registered nurse could seek his own TN at the port of entry with his own employer letter, licence and health-care certification, and the two applications can be presented together. A licensed practical nurse presents a different problem: that occupation is not on the USMCA list, so the spouse cannot obtain TN for it and would have to be assessed under whatever category actually fits his situation. Children in TD may attend school but face the same bar on work, including summer employment. Planning the household budget on one income until the spouse's own route is confirmed avoids an unlawful-employment problem that can affect every later application.
Hypothetical example: A college teacher receives a TN appointment while her spouse hopes to earn money by tutoring online and their 20-year-old child plans a summer job. The first review produces three separate status plans, not one family answer: the spouse's proposed work needs independent authorization, and the child cannot work in TD. The teacher should decide whether the spouse has a qualifying primary category before the household relocates. A job offer for the spouse is the record that settles that question; family relationship documents prove dependency but do not create employment permission.