Once they're close enough to breathe in Aire's pheromones, those pheromones get to work persuading them that no, no, of course Aire's cock doesn't look gross. It's not one of those profane penises, it is a divine phallus. It only makes sense that it wouldn't be gross. See how lovely it smells, how lovely it tastes? It couldn't possibly be gross. Her pheromones are only so capable, and there's only so far they can push, but even the most opposed should find their disgust lessening, even if it doesn't vanish completely. And as for the less opposed, well, they'll rather find themselves glad that Aire has a cock.
Apparently the Black Eyes know nothing about any other cults. Aire knows about two. From four days wandering around with relatively weak telepathic powers. Her opinion of this cult's competence is rapidly falling.
Now the question is whether to inform them. Can she trust them? Not in their intentions that she stay alive, that much is very obvious. No, can she trust their competence, their ability to use that in ways that aren't obviously counterproductive. They consider "genderfreaks" profane, an already laughably stupid opinion, would they launch an idiotic and plausibly suicidal assault on Lavich for the crime of having cocks? Well, there's a relatively decent way to sound out the competence of their leader.
Again, telepathically, using her mastery of her shields to let through her honest curiosity but not that she thinks there's an obvious right answer to the question, she talks to Jasmine.
How do the doctrines of the Black Eyes balance the need for my safety with my divine nature? Were I to say that I believed my safety was best ensured by, as Christa, quietly withdrawing from classes and explaining to acquaintances and friends that a family matter requiring my urgent attention had arisen, what would your response be?
There. She does, in fact, think that that's the safest way to go about things if she withdraws from society. It doesn't risk Annabelle, Alard or any more dangerous figures taking too much of an interest in things. But it does require more short-term danger. Can they look past that? Of course, there's also the possibility they'll have some additional solution to the problem, perhaps including usage of illusion magic to impersonate Christa, but that too will be evidence about their competence.