Uhhhh, if I was aT, I would be mortified! After the first one she should have talked to the other T and said she’s usually in session at that time. In my T’s office (sounds similar to yours, a refurbished house), they have a back door where they walk in/out of. It also has a small kitchen and a big whiteboard. They have their names on it, and days/times. When they are here, they put the magnet on “in” for that day and time. Same with “out.”
Maybe when your T talks to this other T (kind of amazed they haven’t yet), they set up some sort of system where they know you are already gone, and vice versa.