Final answer:
In counseling, new material brought up by a client at the end of a session should be addressed either immediately if urgent or deferred to a future session with sensitivity and validation, but not ignored or dismissed as inappropriate.
Step-by-step explanation:
When a client brings up new material at the end of a counseling session, it's essential for the counselor to handle it sensitively and professionally. If the new material seems urgent or indicates potential harm, the counselor should address it immediately, even if it extends the session slightly. In cases where the new material is important but not an emergency, the counselor might acknowledge the importance of the material, validate the client's feelings, and suggest that it become a focus for a future session. Ignoring the new material or calling out the inappropriateness of the timing may harm the therapeutic relationship. Instead, setting a boundary while also showing empathy can be more beneficial.