Yes, of course, as much as anyone else, but I hardly let it rule my life. I might catch the dragon pox and die next week, or I might live a hundred years more, and either way it's just chance.
What I don't fear are gods, because I don't believe in them. Most of them were witches and wizards who pretended, either to save their lives or because they enjoyed being worshipped. Some might be beings or creatures from another plane of existence who have great power, but even that is no reason for me to kneel down and be told my magic is evil.
So if you call yourself Death and so think that you will inevitably kill me someday, that's all well and good, but if you mean to hasten my end, don't think I shall let you. I'm a wizard of an ancient line myself.