You just replace that anxiety with a different fear.
I don’t fear oblivion, I fear it will keep me waiting. Not existing is a silent matter, living past your due as a broken, diseased husk or a person is a torture to you and those you cherish.
Death is a promise of rest, there’s no need to fear it. I’m a bit sad that I won’t get to witness most of the things I want to witness, but so be it.