Lexa's stays shut. She inclines her head minutely in agreement with the spymaster's point, and then waits in silence until the Templar is dismissed, not sparing him another glance. It's a deliberate cut, how easy she makes it seem to utterly ignore his presence or lack thereof (though of course she's not actually ignoring it at all and everyone in the room knows it).

When he has either gone or been told to stay, she waits a suitable moment and then says to Leliana, "I need to return to my people. There are things I was on my way to do when I was waylaid and brought here. Afterwards I would meet with you or your diplomat, Lady Josephine, to discuss in more detail how your people and mine might assist one another."