Everybodyishere, I can't find all the background information on yourself that you refer to, as to what the T is trying and all...
When you are dissociative, with DID, then you have partitioned parts of your life into smaller more acceptable (able to deal with?) parts. Sometimes, to access a memory that is in one of those other areas, the T needs to find who is keeping that memory for "you." Discussing various topics or events might do that.
I don't know how long you have been in therapy, and whether your T is pushing or not, but remember YOU are in control and need to share all this with your T. You need to ask your T these questions too

What I know with DID patients, often slower is faster. (When you or the T pushes too fast, it bogs the whole process down as alters rebel or become frightened and withdraw farther away, and it takes more time to get back to where you were.)

Don't be afraid of what you know. You have coped well, and when you are ready, you will be able to know.