I can provide some guidance on this topic.
In a traditional therapeutic setting, it is generally considered inappropriate and unprofessional for a therapist to disclose personal information about themselves, including details about their romantic relationships or personal life, to their clients. This guideline is in place to maintain healthy boundaries and ensure the focus remains on the client's needs, not the therapist's.
Asking your therapist about their relationship status or personal life can be seen as crossing a boundary and might make them uncomfortable. Therapists are there to provide support, guidance, and insight for the client, and they may share information relevant to the therapeutic process but not about their personal life.
If you have questions or concerns about the therapeutic relationship itself, it is generally more appropriate to discuss those feelings directly with the therapist in a respectful manner. For example, you can talk about how you feel about the therapy process or how you perceive the dynamic between you and the therapist.
Remember, therapy is a professional relationship, and the focus should be on your well-being and personal growth rather than the therapist's personal life. If you have any questions or doubts about what is appropriate to discuss in therapy, you can always talk about it openly with your therapist. They will be able to clarify their boundaries and help you understand the therapeutic process better.