Her silence is probably as much an answer as he needs, but the delay is because she's thinking this through before she answers.

"Spies are everywhere," she admits. "But I think the Templars are now divided in purpose. There are those that still wish to serve the Chantry, and those who wish to serve Corypheus. Seeing what is happening to those who serve the latter, I cannot imagine that our Templars in the Inquisition would be eager to join them. Perhaps some Templars still out there in the world hunting mages might, but our organization is the far better option."