How A Shinigami Loves

Natara a Shinigami forms an obsesseion for Lawliet who often goes by the name L, to hide his identity. Natara knows things will never work out between them, as for a Shinigami it is fatal to love and L is downright freaked out by these gods of death. So to what extent is Natara willing to go to, to win L's heart and fulfill her obsession?