If not for the fact that Pathfinder follows the usual Good-Evil-Lawful-Chaotic set of alignments, I'd personally have said that the Deity in question was more Orange-Feet aligned.
Because it's a Deity, it follows its own internal logic with regards to Morals and Ethics, and thus is beyond the understandings of mere mortals.
But since we're going by the usual alignment system, I'm going to have to say that she's closest to Lawful Neutral.
Kitten-like behavior aside, she's following the parameters of her programming. Any action it takes will be for the purpose of achieving her objective, thus Lawful.
Neutral on account of it not having any sense of something being morally right or wrong. Killing all Mind Flayers isn't considered Evil or Good to her because she's only following her programming, and she has no idea if she's hurting someone else in the process, and doesn't know she should feel remorse for it or not.
The fact that she's gleeful to the idea of committing Genocide to an inherently evil race is irrelevant to the matter of alignment.