The more you fear death, it will come to you fast. Sometimes in the middle of the night, I have sudden fear what if I die of a heart attack? I panic. I know it's very depressing, steals the joy out of your life.
Maybe if you have a close relationship with someone, who will understand and sympathize with you, you'll feel at ease.
This fear is not embarrassing by any means, so feel free to express your emotions, worry to someone close. Good luck.