Millennium Snow [Manga]

Chiyuki was born with a heart condition, and doctors have been foretelling her death from the first day she was born. Now Chiyuki is 17 years old, and she must live at the hospital, Vowing to enjoy everyday she has left. Each year, Chiyuki looks forward to the first snow, but this year many sense that she might not last much longer! One night she saw through her window a boy jumping off a neighboring roof, rushing out to help she finds Touya Kano! Touya has issues, he does not suck blood or want to even be around humans, a really big problem for a vampire!

Touya is an 18-year-old vampire who hates blood and refuses to make the traditional partnership with a human, whose life-giving blood would keep them both alive for a thousand years.