I like his work so much that the things in life that bother me don't get to me when I'm reading one of his books.
この場合、次のような言い方ができますよ。
ーI like his work so much that the things in life that bother me don't get to me when I'm reading one of his books.
「彼の作品がすごく好きで、彼の本を読んでいると人生の嫌なことが気にならなくなる」
things that bother me「私を煩わせること」
to get to someone で「人に悪影響を与える・こたえる」
ご参考まで!