I think this depends on a lot of different factors. First, how long does the T already know the client and how is the relationship. Then, it depends on how one reacts to death in general. For example, for all loved ones (pets, grandparents, other people) that I have lost, I grieved at the very most for a day. I do not know why, but it doesn't seem to affect me that much.

My T has told me multiple times that "he'd not like it" if I died. I assume he'd be upset, but he'd probably also think about whether/what he did wrong. Overall though, I hope a T would manage to work through the emotions and provide support for their other clients still, life goes on and if a T can't deal with this part of the job, then they are probably in the wrong profession.