Demisexual Fleur De Lis
This is the demisexual flag fleur de lis on a plain background of a lighter version of the purple from the flag. Feel free to change the background yourself as you choose; I just didn't want it to be stark white.
( http://www.asexuality.org/wiki/index.php?title=Demisexual )
Fleur de Lis in the colours of the demisexual flag by lgbtqshvla.tumblr.com; used with permission.