This type of conversation between a client and therapist that helps the client understand their feelings is known as ____.

The correct answer is psychotherapy. This type of conversation involves a trained therapist engaging with the client in a structured manner to explore their thoughts, feelings, and behaviors. Psychotherapy aims to help individuals gain insight into their emotional states and develop healthier coping mechanisms. The therapeutic relationship is fundamental, as it provides a safe environment for clients to express themselves and work through their issues.

While other options like talk therapy and supportive counseling may involve conversations that help clients, they are often broader or less structured than psychotherapy. Talk therapy is a general term that can include various methodologies, whereas supportive counseling focuses more on providing emotional support rather than delving deeply into psychological issues. Reflection is a technique used within psychotherapy and other forms of therapy, where the therapist mirrors the client's feelings back to them, but it does not encompass the full spectrum of what psychotherapy entails. Therefore, psychotherapy is the most accurate term for describing the in-depth therapeutic process.