I always assumed it was a reference to the struggle between Order and Chaos.
Luc shows what the world would look like if Order rules, bleak and would be devoid of any life.
A world ruled by Chaos would probably look something like Rarohenga in the abomination which isn't really desirable.
A Balance between the two is preferable, Leknaat works to ensure that. It's probably a self-imposed title rather than one bestowed to her though.
Doctorum Non Urina Singulus.