Not in TD status, which authorizes residence and study but never employment. If she is herself a Canadian citizen holding a listed profession and receives her own American offer, she can apply for her own TN, and that status, not her husband's, is what would permit her to work.
A dependant's permissions are not the household's permissions
Suppose Sylvie's husband is a veterinarian in practice near the township. Admitted as her TD dependant, he could live with her and enrol in a course, and he could do no paid work of any kind, including remote work for a Canadian clinic performed from a house in Minnesota. Veterinarian, however, is itself an Appendix 2 profession with its own qualification rule requiring the professional degree or a state or provincial licence.
With an offer from an American practice he applies in his own right, is admitted in his own TN, and the couple simply holds two independent statuses. This is the general principle for every family member: the route follows the person's own activity and their own citizenship. It also has an unwelcome edge, since two separate statuses can end at different times and neither one rescues the other.