The Arcadia website is a college website. It's more detailed than most, and has departments of lab magic, elementalism, dimensional studies, personal magic, and several of the usual kind of mundane college majors. (All the kinds of magic she's learned except ministration are specifically listed if she looks closer, sorted idiosyncratically into the various departments.) There's lots of student clubs and associations mentioned, including multiple chapels and a Watcher program that seems a little like ROTC (not the only thing of that type on campus either, ORC and a Hespatian coven have similar things).
The official Watcher presence is the kind of bland you get when an organization with complicated internal divisions has some PR people try to minimize them and only say things everyone can agree on, which ends up agreeing with what Gwen said about them and not providing much more detail. They do have a big list of branches, organized by classes of denomination, almost all with several entries - there's a Lutheran section, Calvinist, Unitarian (in line with nominative determinism, only one group listed), Mormon, and of course Catholic, of which there are apparently seven, whose names imply that 'the Roman Catholic Church' is not sufficient to pick out a single church on this side of the Veil. If she checks out their websites, they're still focused on the things Watchers agree about - the celestials are the messengers of God, an apocalypse is coming and we need to watch and prepare for it, all the believing faiths should work together - but also have some comments that are clearly veiled barbs against other people who have theological or possibly political differences. And declarations of allegiance to particular churches which they consider the 'most true' faith. Two of them also express nasty sentiment towards pagans.
It's initially hard to find the website for the magic side of her familiar Vatican because it's smaller and less visible than the Vaticans which exist on this side of the Veil. Since they all know more about the structure of the world, they consider themselves better authorities on Jesus, the Bible, and various exegesis and points of doctrine; since they couldn't always easily communicate across worlds, there are three of them. Two of the three consider the mortal prime-world Pope authoritative for humanity outside the Veil, the third broke with him at the declaration of infallibility. When she finds the official hexVPN site of her Vatican it's trying hard not to commit to either of the two that recognize the Pope's limited authority and seems to be trying not to alienate the other one too much either. There's notes of disapproving of immodesty but they stop short of actually telling anyone they're wrong in God's eyes or anything quite so explicit.