Saw it. Thought it was just a picture.
Inquisitors don't tend to kill Inquisitors without a bloody good reason. They might get killed back.
Kay "wiped files" because they MIGHT be tainted? That's for people higher up in the Inquisition to decide, not her. They might also have the names of associates, investigations, suspicions, operational successes and failures, hidden cells, so so much.
Kay working for Francie without telling Miles? Not likely of an Interrogator. Although, I don't know if you've read the fluff in Ascension.
Sorry, but currently the evidence points to Kay as a cultist/murderer/heretic, and Fran as possibly complicit. Not enough to denounce Fran on, but enough to bring Kay in for "Questioning." If Kay is actually innocent of all charges she may be reassigned - she can infiltrate, at least. I wouldn't deploy her for any other fieldwork.