Hmm... Maybe
that's what the glasses are for.
Fake Halea is giving off massive Cheline vibes in this chapter, between the clear parallels to the Cheline statue and the god-tongue background of the speech bubble, but I'm still not entirely convinced. Cheth seems to be under the impression that Cheline isn't a villain, per se; he's more frustrated/disappointed with her. The one he outright despises is Shoshana, and even then it's heavily implied to be a fake Shoshana distinct from the
real Shoshana whom he's actually quite fond of.
So my first guess would be that Halea's puppeteer is the fake Shoshana. But even if that's true, it doesn't tell us much. Who is the fake Shoshana? Was she Cheline after all, or someone else? Perhaps another god in the (headless) pantheon?
One thing I've noted before in comment threads is that Fake Halea's major color is green. Which could be seen as a mixture of Philemon/Shoshana Yellow and Cheline Blue, but is notably not the color worn by Garth and the other Plume Church clergy. Moreover, the artifact Phae will hopefully soon be convinced to start looking for is purple, which is both a mix of Cheth Red and Cheline Blue and the RGB inverse of green. This is, after all, a comic that isn't at all shy about leaning heavily on color symbolism.
So extrapolating from that, I hypothesize that Fake Halea is opposed to reuniting Cheline and Cheth, and invested in keeping the theocracy going.
So my best guess is that whoever is in control of Halea is opposed to the reunion between Cheth and Cheline. Quite possibly another member of the (headless?) pantheon who set up the division between Cheth and Cheline for her own purposes. To what end? I can't even begin to guess.
Though I guess I should read today's page.