This gives me an idea maybe i can ask her why her reason why she's felt alone?
Leaving aside the issue your therapist’s sexuality for a second, this is where I see you nudging boundaries. Because asking questions about her feelings and about what’s going on for her in her private life to create those feelings seems like quite a big switch of focus and emphasis to her when this time should be focused on you.
I’m not at all trying to make you wrong for being curious and for caring about her. And you can, of course, ask her whatever you like and it’s up to her whether/how she chooses to answer.
If you went ahead and started digging around in why she is feeling alone/lonely right now, I think I would expect her to wave the question away or to give a very brief, light explanation eg “oh, my room mate’s away and I’m not used to having the place to myself but it’s fine” - smile, move on. Because a client’s therapy session isn’t really a place for a therapist to get into their own emotional life.
For me, it’s about this:
But, I would never get into heavy conversations about her emotions
Like
@Stephernovas I really like my therapist. We get along, we have a lot of laughs and banter. I most definitely care about her. And I know some things about her and her personal life. We quite often have a few minutes chatting before and after sessions where we both share things about what we’re up to that week or what’s going on in the world or whatever. But we don’t get into big discussions about her emotions relating to her life and relationships etc because that’s just not what the space is for and because she has other people in her life to have those conversations with.
Therapists have their own boundaries and one therapist’s boundaries may differ greatly from another’s. For me, the key thing is that self-disclosures should be because they are in some way in service to the client and their work. If they are not truly in service to the client, they don’t really belong in the space.
So, with your wanting to ask her why she felt alone, it might be worth pondering whether/how/if her answering that question is in service to you.
I am afraid I'll start to care too much and then therapy has ended and we never talk anymore.
I wonder whether this is really at the heart of this thread? Perhaps this would be a good place to start with your therapist - sharing this fear with her?