It's never really been stated if Templars deal with non-Mages that were aiding Mages, but... I do think the Templars have authority on at least bringing them in for questioning.
They certainly can't kill them just for giving food and shelter to a Mage, especially if that Mage suffered abuse in the Circle like the woman's relative did.
The pro-Templar quest where you're hunting down Mages and killing them has you at the end killing the remainder of Mages and Ser Mettin wants to kill the non-Mages that were helping them and surrendered, while Ser Agatha doesn't. And she's a moderate.
Now, this quest is wholly different from Meredith's little death squad, as we are told in-game that Meredith's death squad consists of her handpicked zealots tasked with such a "duty". But at the very least, Templars certainly have the authority to detain and question non-Mages. I would think that'd be a basic thing for a police force dedicated to... well... policing magic.
Given how Lily was sent to the Aeonar by Gregoir's command -- which boggles the mind, as it's a prison for Mages -- I'd say it's more likely then not that the Templars can be Judge and Jury.
But not executioner.
Granted, she was a priest so that might by itself render her under Chantry/Templar jurisdiction while a farmer would be a different story.
So meh, we don't have enough to conclusively state that the Templars can be Judge and Jury regarding non-Mages, but we do have enough to say that they would be able to question them.
EDIT: And we must also take into account Kirkwall's political nature where the Templars have controlled what happens in the political spectrum for nigh on two decades, most of that from behind the scenes.
Modifié par The Ethereal Writer Redux, 06 février 2013 - 11:34 .