Final answer:
The new nurse manager should acknowledge the expertise of the upset staff member and set clear expectations for teamwork and communication to build trust and respect.
Step-by-step explanation:
The best approach that the new nurse manager can use to gain the trust and respect of the nursing staff on the unit is option D: Acknowledge the clinical expertise of the upset nurse and clearly explain the expectations for teamwork and open, honest communication. By acknowledging the strengths and experience of the existing staff, the new nurse manager can demonstrate respect for their contributions and foster a collaborative work environment. Furthermore, setting clear expectations for communication and teamwork helps establish a professional standard and invites all staff to engage in constructive dialogue, thereby smoothing the transition and building a strong team dynamic.