The plan of action in case of relapse will probably take more than two sessions to develop. She has very little information about you to go on, so it may take some time. You will need to really go into some detail about the symptoms you experience, who might be available to you as support like family or friends, what hospital you prefer to work through if it comes to that, etc. That is all information you need to provide to her if she is to come up with a really useful plan of action. Bring this up again with some ideas of what you might like to see happen and what would not work for you. It can take some time to really truly know how a client "ticks", but being proactive about getting her the needed information and insisting on a concrete plan should help the process along. If it doesn't though, you might then consider different options for a T.

Not getting your appointment in the books was probably an error due to your being new. Ask her to double check her schedule just to make sure you are on it.

Some T's take notes; others don't. My T does most of his note taking between clients. The only time he looks at his notes or writes in them during session is at the very beginning as he always charts my mood and he glances at his notes from the previous appointment as a quick reminder. Once he's done that, he lays them aside for the remainder of the session.

Give it a bit more time. Two sessions is really quick to write off a T unless she is blatantly off the wall.