I think it is pretty, and the association with the Biblical
Delilah doesn't bother me as I am not a
Christian though I can see why it would bother someone who is religious and the nickname
Lila is pretty, especially if it is said Lie-la. The meaning doesn't bother me.
Once my brother wen't to school with a girl name D'Lyla and that bothered me.
"Wanting to be someone else is a waste of the person you are." -
Kurt Cobain