It's OK for the therapeutic relationship to be intense. Maybe just remembering that will help you be more relaxed about what you are feeling and reassured that it is OK. The intensity can be healing and draw you closer. I think the really close sessions can make the closeness of the relationship become really near the surface--you are reminded of how close you are--so it is no wonder you devote quite a bit of time thinking about your T.

I've just been reading about the neuroscience of love and it talks about brain activity differences from being in the infatuation phase of love (lasting 6-9 months, according to this source) and then the later more comfortable, at ease phase of love. There are distinct differences in both intensity and location of the brain activity. Maybe the same is true in therapy with your feelings toward your therapist. I know that early in therapy I did have a phase of some months of rather obsessive thinking about my therapist. As time passed, this mellowed into an extended period of great comfort and ease and positive feeling (still ongoing). So there are other phases you may come to yet in the future.

This is a quote about therapy that I really like, and was very reassuring to me about the relationship and how it is much more than transference (sometimes just about all positive feeling toward the therapist is described as transference, and I knew in my heart that did not describe my relationship):

“Long-term therapy of some depth inevitably involves times of warm communion and times of great stress--for both participants. Living through these together has a true bonding effect which is not always recognized by those who teach or practice more objective modes. Nevertheless, therapist and patient often have what can only be called a love relationship, which is by no means simply a product of transference and countertransference. Patient and therapist are two human beings, partners in a difficult, hazardous, and rewarding enterprise; it is unreal to expect otherwise.” (James Bugental, 1987, The art of the psychotherapist).