I'm sure they would be concerned, as I am.
This means that you are feeling really desperate with the situation / life you are in right now, and need assurance that it won't always feel so terrible, and will get better.
You will get better.
Now that you have all the details worked out, put the plan on the shelf and forget it.
It isn't that you want your life to end, you want your life as you have it now to end. Change is what you need,
and you can get it without drastic measures.
I think it would be good to share with your T that you are feeling desperate, and how you feel it will never get better and you need it to end. Without playing the plan card, you aren't threatening, but sharing how much you need help right now! Don't threaten, as your T is there to help you and threatening makes them shift into a mode that might take all control away from you, when all you really need is for T to KNOW how bad you feel.
Do you have an opportunity soon to tell T?