I agree. This doesn't sound right or ethical at all. I am wondering if your therapist has children or is she trying to fulfill that role with you?

I think a therapist has to be very careful not to persuade the client into something they don't need or want to do, especially since they are receiving money for this. I don't understand why she keeps you 40 mins after a session. That is practically a whole other session.

My therapist has never, ever made contact with me outside of sessions unless I have contacted her first because she could be seen to be trying to gain income from doing so. She is very, very tentative about suggesting extra sessions etc. as she does not want me to feel obliged to do it to please her or for any other reason.

I really think you should let your therapist know that you are coping much better on your own and feel you are at the point of being more independent now but thank her for helping you to get there.