I'm glad you're talking about this with your T. I have found that just talking about the thoughts can lessen their power. I don't think it's a sign that you're seeking attention or being manipulative, and I'm glad you believe your T cares about you and wants you to stay safe. Having thoughts of suicide is quite common (way more one might think), but that doesn't mean it isn't really scary too.

I did some poking around online once to read about the experiences of therapists who have lost a client to suicide. Yes, there is the potential that your T could be held liable for your death (e.g., if your family sued), but even worse, your T would likely always feel on some level like they failed you. I don't say this to put extra pressure on you, but rather because I hope you keep fighting the good fight and staying alive. If your reason for getting through is that you don't want to hurt your T, I think that's as good a reason as any.