I think that taking it slowly is usually a good approach when fears like this come up for me. You have a good idea to go on Tuesday and talk about it before deciding on Friday.

It seems to me that you need the support, but I understand your fears.

fwiw, I do see it as kind for your therapist to offer a second session. Not all of them do that, and they can make someone feel like crap for asking. In your case, he offered. I would say that's kind. Others have different experiences based on how they view life in general and it might resemble some of how your mother responds to you, so just take what feels right and leave the rest, especially if you're feeling anxious about this.