Since LC is not your T, does she get paid for these phone sessions with you? By insurance or by your parents?

I think the problem here is that you can't really expect her to be a T when she isn't one, and she can't be both a T and an LC at the same time. You call her at 2am when you're upset, and she answers right away and talks to you. Then, she isn't always available at scheduled appointment times. It seems like you can only get one or the other; either, you decide on a formal relationship where you have a set schedule that you stick to or you have a more casual relationship where you can call/text at all hours. I think it would be almost impossible for someone to be able to do both for you. Maybe you and LC can work out what the expectations are for your relationship. Getting a T would also probably help so that you could split up your needs between the two of them, instead of relying on LC for so many different things.