Waiting for your T to "prompt" you may not have any deep psychological meaning at all.

In normal conversation with people, we say something and if we have any manners at all, we don't just keep blabbering away about ourselves. We wait for the other person to show interest or say something back or ask a question, even if it's only something as simple as, "Oh?" or "Hmmm?"

We're waiting for a social cue, or, in your T's words, a prompt. In normal conversation it's rude to keep talking about ourselves if we're not receiving social prompts either verbally or in body language from the listener. I don't find it odd at all that you or any other person would wait or want or expect social cues from their therapist, especially if they're new to the whole process.

But therapy isn't normal conversation. Maybe you're waiting for normal social cues from T and she's going by a different playbook. Maybe that's what the two of you had better figure out.