What I read about Tevinter on the dragon age wikia, it doesn't mention anything about how the country feel about the templars. What I can think of is that the templars mostly avoid Tevinter because of how its ruled by mages or that they have no power to take their mages. I know that their version of the Chantry, blames the old gods not the magisters that tainted the golden city and came back as the first darkspawn, and their Chantry was created to oppose the Chantry. Seeing that their divine is a male and not a female.