Yes, it is absolutely appropriate to refuse a hug from your therapist or any other mental health professional if you feel uncomfortable with it. Boundaries are an essential aspect of any therapeutic relationship, and therapists are generally trained to respect and maintain appropriate boundaries with their clients.
Therapy is about creating a safe and trusting space for the client to explore their thoughts, feelings, and experiences. However, personal boundaries can vary from person to person, and what may be acceptable for one individual might not be comfortable for another.
If you ever find yourself in a situation where you feel uneasy or uncertain about any physical contact with your therapist, including hugging, it's crucial to communicate your feelings openly. A good therapist will be understanding and receptive to your concerns and will not insist on any physical contact that makes you uncomfortable.
Remember, therapy is a collaborative process, and you have the right to establish boundaries that align with your needs and preferences. If you ever feel uncomfortable with any aspect of the therapeutic relationship, don't hesitate to discuss it with your therapist or seek support from another mental health professional who can better meet your needs.