Therapy is all about your needs/wishes... No, you shouldn't have to protect your T form your suffering.
The problem is to find a T who can take it and stay with you. It requires a T with an excellent selfcare, support system and experience. (First client is the hardest).
Few yrs ago I was really ill, they thought I'd die. I didn't, am pretty good right now, feeling healthy thought I'm not (it can't be cured and will kill me in the end, just don't know when).
Anyway, we discussed this with my T, he was great, said he did it for few clients already and can take anything. There's a special psych term for this- following? (Probably warped due to translation,sorry) Some Ts are trained in it some don't.
Make sure your t is able to stay with you till the end- nothing worse than being "abandon" when your at your lowest.
Honestly, if my T cried (and sought reassurance) from me, I'd find a new T when I still can.