Thank you for choosing to write about your thoughts here, and seek a direction.
I hear that you feel a strong transference to your female therapist, and it has been an intense experience for you, to understand what to do with it, to share with her or not, and how to manage your therapy experience with that. It also sounds like your therapist has been inviting and supportive. At the same time, you seem to be feeling unsure of how good of an idea it would be, to continue sessions with her?
If you think I understand correctly so far, soham-sen-1xzti, my answer to your question, from this understanding would be that it is absolutely fine for you to visit her and continue working with her, if you find therapy with her to be overall, beneficial and helpful. The transference that you feel is a likely part of the process. Like you seem to have already read about it so far, transference can in fact manifest in many forms. In involves projection of some feelings on the therapist, and sometimes that could interfere with the work being done in sessions. At the same time, if it is a trusted relationship and the therapist is competent enough to manage discussing transference, then it could also help you to explore your relationships outside of sessions.
You shared that your transference is an amalgamation of attachment and romance. Both of them are quite understandable, soham-sen-1xzti. Attachment is likely to develop in any relationship where we find some of our needs being met. And therapy is a space where we feel heard, listened to, valued, acknowledged for who we are, invited to feel free to share about ourselves, and so on. It meets a lot (if not all) of our interpersonal needs, primarily emotional needs. And in such a space, attachment forms. The need to be around the person, seek their company, seek their attention, all this can be a part of that attachment, which you probably experience. At the same time, what could help you to maybe distinguish the therapeutic relationship from other relationships (romantic or other relationships), is that in the therapeutic space, it is usually and primarily the client's needs being talked about, focused on, and addressed. Any other relationship is ideally a two way street, where both persons provide for each other and contribute to each other's needs. Would you agree? Making this kind of a distinction could probably make it easier for you to - 1. accept your feelings for what they are and why they might be, and 2. how it is not really like a romantic relationship (and if you were in a romantic relationship with the same person a lot of things would be different), This could help you try and process your feelings and derive understanding from them, using their manifestation in therapy to get clarity about your relationships outside of therapy.
I hope this gives you some clarity and direction.
Take care and all the best