Not simply because you obtain TN. A spouse’s ability to retain another status depends on continuing to meet its conditions. Compare that option with TD using the spouse’s actual plans, rather than treating family membership as an automatic status change.
Review both sets of conditions
A qualifying marriage may support a TD application, but it does not answer whether switching serves the spouse’s intended activities. Obtain an explanation of what each route permits, what must continue and what would trigger another immigration step.
The name change needs explanation, but the listed qualification remains a baccalaureate or licenciatura degree, or a state or provincial licence. Start with the contracts and proposed duties, then compare each part with the TN requirements: Canadian or Mexican citizenship, a listed profession, its credentials and temporary entry for prearranged professional work. Build a dated review file around the offer letter, occupation entry, passport, credential records, and actual employer. The position still has to consist of that profession rather than of field support carried out under another professional’s responsibility. Explain the actual professional duties and credential relationship rather than assuming every role containing engineer qualifies or every name discrepancy defeats the case. Review design duties that also include sales or general business operations rather than relying on the title.