Final answer:
The social worker should ask how the client feels about seeking help to address the client's skepticism and build rapport, while listening empathetically and without judgment.
Step-by-step explanation:
In the scenario where a client questions the social worker's credentials and competence, the social worker should ask how the client feels about seeking help. This approach acknowledges the client's concerns without being confrontational. It shifts focus to the client's feelings and readiness to engage in the therapeutic process. This is an important step in building rapport, which can be reinforced by listening without judgment, offering empathy, and ensuring a non-authoritative stance. Addressing the client's skepticism indirectly can lead to a more productive relationship and a better understanding of the client's motives and resistance.