Hi Stormy. I definitely think that you should be honest with your T because it is affecting a very serious topic that you need to talk about.
And I will add this... A comment from "the other side"...I hope it helps...
Don't worry so much about "protecting" your T. I know it's a natural feeling to want to do this knowing what you know, but Ts are equipped to talk about suicide. It comes up quite often. Personally speaking, I have been going through a depression, and have had a lot of suicidal ideation lately. When I go to my internship, I deal with suicidal issues constantly. Neither one seems to affect the other. As a T who has personal issues with the matter, I have managed to draw a line. I bet your T has done the same. Sometimes we have way more troubling handling what we need to talk about than we think our Ts do.

I know that happens to me in therapy all of the time.