Final answer:
The nurse's appropriate action is to show acceptance of the family member's feelings without pressing for discussion about funeral arrangements, respecting their pace through the grieving process.
Step-by-step explanation:
When a family member refuses to discuss funeral arrangements following the death of a client, the nurse should demonstrate professional understanding. Acceptance of feelings is important. It is crucial to respect the family's pace and readiness to discuss such matters. Given that people go through different stages of grief as elaborated by Elisabeth Küblber-Ross, such as denial and anger, it's understandable that a family member might not be ready to discuss funeral arrangements immediately after a loved one's death. The nurse's appropriate action is to show acceptance of the family member's feelings while remaining supportive and providing a comforting presence without pressing for conversation about funeral arrangements.