Most people thought it was ungodly, but that's why they all hid it. Heck, President Buchanan was gay...But Scott probably wanted to add more dynamics to her character. If she fell for, lets say Alek, then her role in the story wouldn't be as exciting.
On another note, Lilith is a goddess of dreams, but I forget from what mythology, that maybe where he is getting the name, Cause in Armenian, that's where the name Lilit came from.