If your therapist is open and caring, then you can talk about whatever, including transference.

As far as that quote, I'm not quite sure. One meaning is that the therapist would slowly stop giving you what you been getting in the past, when you were less autonomous. Think of parent child relationship. Children get a lot of things from their parents (or at least should). As they grow older, the parents will stop giving them some of those things, either intentionally (to help the child separate) or unintentionally (just don't feel like behaving the same towards the now older child anymore).

Hopefully this coincides with the child also not wanting to get gratification from parents. So the child makes friendships outside home and develops a life of his own. In more tragic cases it's when a parent is dying or leaving permanently for whatever reason, a child is pushed into a life of her own earlier than ready. But it's done for good reasons. The parent simply won't be there and the child needs to become independent in order to survive.

Obviously not the same in many ways, but somewhat similar process is going on in separation in therapy. The therapist gratifies some of your desires earlier in therapy. But at some point, towards the end, less and less of them might be gratified. You won't be rejected. But you won't get, say, as much validation as you used to. It can be difficult, especially if you don't feel ready or if you feel you're being pushed. As a child my dad pushed me too hard to develop independence. I interpreted it as rejection.