So, this is a whole lot of arguing about minor dangers on either side of this whole mess, so I'm going to propose a very simple solution.
@Boney what exactly do Grey College protocols say Mathilde should do about this sort of situation? I've seen some guesses, but I can't recall a specific claim.
Basically, whatever Mathilde and ourselves decides to do for whatever reason is probably suspect no matter what, so we should just do the entirely reasonable things laid out far in advance for this, whatever they may be, and then go about our day, instead of trusting the panicked, untrained decisions that a bunch of people in another world who have never had to deal with daemons can come up with.