I would ask your T how he deals with suicidal clients. Have you shared any of your feelings with him?

And I agree with what a few people said where a T might want to refer you out if they thought they weren't helping you. Or if you could only see that T once a week, then they might think you'd need a higher level of support like a day program/PHP or inpatient. I know my T was concerned at one point that she wasn't helping me enough and mentioned hospitalization. I kind of freaked out about her suggestion, and it was then that she said she was concerned she wasn't being helpful and that I might need a higher level of care than what she, my p-doc, and marriage counselor could provide.