@Rinshikai10
The Divine is seen as the metaphorical bride of the Maker, that was mentioned somewhere in one of the games. Might have been from Leliana in DAO. I think her crowning ceremony is a wedding even, but I might be transposing a theory here and it was never written/mentioned in game (I just remember reading that, but not where I read it).
Her faithfuls knows who she is and probably who all the Grand Clerics are as well (by their office, which is all that matter in a religion). World of Thedas even called Cassandra famous for being the right hand of the Divine. The Chantry assure the educations of the commoners, even the city elves. They are in all level of the society from the poor to the very rich. Chantry mothers are the power in smaller cities (like in Lothering). Even in larger cities, like Kirkwall, they have considerable power over everyone. The Chantry is what Christianity was in Medieval Europe or close to what Christianity is in South America or Muslim is in some countries. If you want a fantasy equivalent, it's like the Faith of the Seven in A Song of Ice and Fire. The Divine just has to brand the Templars has heretics for the majority population to see them as such.
The Thedasians are Andrastians first, not Templars supporter first. DA2 suggested that the population was starting to turn their backs on Templars more and more (mentioned by Cullen and not just in Kirkwall) and that was before their ditched the Chantry. And now the Templars have a problem anyway, the order is a creation of the Chantry, they are defectors, but they cannot return to what they were before that, because someone else called dibs on the Inquisition first...
By the way, the Divine didn't not send Cassandra and Leliana to find the Warden and/or Hawkes, that wasn't the "original plan" as Cassandra puts it. On top of that, Gaider said there was more to the interrogation than finding Hawkes, so it's possible they were not looking for them for the reasons fans believe they are (aka gain influence).