It's essential to remember that therapists have their own limits and boundaries, and their primary concern is to provide the best possible care for their clients. When your therapist mentioned that a paid double session was draining for them and suggested a half-session extra instead, it might not necessarily mean that you are "draining" to them as a person.
Therapy can be emotionally demanding for both the therapist and the client. It's common for therapists to be cautious about overextending themselves to ensure they can maintain their effectiveness and avoid burnout. They may have other clients, administrative tasks, or personal responsibilities that require their attention, and it's important for them to manage their schedule and energy effectively.
When your therapist proposed the half-session extra, it could be a compromise to meet your needs while also respecting their own boundaries. It might be worth discussing this openly with your therapist, expressing your feelings about the situation, and seeking clarification on their perspective. Effective communication can help build a stronger therapeutic relationship and understanding between you and your therapist. Remember, therapy is a collaborative process, and addressing concerns openly can lead to positive outcomes for both parties involved.