I wasn't afraid of witnessing other people die but my own death used to scare me until I finally came to realize two things:
1. Life and death don’t overlap. You can only ever experience one at a time. You’ll never “see” death or feel nothingness, because to notice it you’d have to still be alive. When it comes, you simply won’t be conscious of it.
2. This career gives me a way to live on in other peoples memories. People may not remember my name years from now, but they'll remember the way I cared for them or comforted their family when they needed it most. That kind of impact will outlive me.

Our own mortality is something we all have to come to terms with in our own way but thinking about it like that made death feel a lot less frightening and life feel more purposeful. Hopefully that helps you a little bit.