Final answer:
The style where a counselor is aware of their prejudices but conceals them in therapy is known as the consciousness style. This approach indicates a shallow engagement with cultural competence, which can affect the therapeutic process.
Step-by-step explanation:
In counseling, the style that involves a counselor being aware of their fears and dislikes for a minority culture but hiding those fears beneath the surface of counseling is known as the consciousness style or interview-like style. This style indicates a superficial engagement with cultural competence, where the counselor may recognize their own biases but does not allow these biases to be visibly or overtly expressed in the therapeutic context. Instead, they might suppress or mask their negative feelings, which could inadvertently affect the counseling process and the client's experience. It's essential for counselors to continually work on developing authentic cultural competence and genuine understanding beyond mere awareness, to provide effective and non-discriminatory support for clients from diverse backgrounds.