invented to keep out the cold
Morgethai will know, knows who the other person attached to that account is, and did this to avoid no more than fourfold that many deaths. ...unless there was another reason, and a blood ascension ritual is likely to threaten her. Especially from Togomor, who she said was probably eighth circle and may well have become ninth. How much of this was to prevent competition?
On the other hand, say it was. If she is spotted by whatever the conspiracy left behind, they probably need that wizardry to find her. If Togomor is dealt with somehow, that's not a risk, and she is fine. If he isn't but he willingly exposes himself like that, he gives himself away to Morgethai. If Morgethai's goal was to prevent a competition, Togomor showing his hand is to her benefit, so she will care. If her goal was the deaths, again she cares for the plague, at least one quarter of a queen toppling.
So. On the one side, Morgethai's favor. On the other, the risk of a conspiracy member. Can the conspiracy capture a letter quickly enough? If they ever will be unable to, directly in the aftermath of an archmage would be when. Some channels will be broken, some will take the chance to hide, and things fall apart. A web respins itself, but only with time. They have had one chance to prepare spells, but only just.
The conspiracy found her when she contacted the Bank for protection. She was obvious, not many would buy a fifth circle cleric's time. They cannot have every clerk in every branch, and she only needs to get one message through. Call it half a chance a message will fail or be delayed, with the center taken out. The Abadarans would know if more than half the clerks were in thrall. No more than a quarter chance she is caught, then. On a success, at least a quarter of a queen in the kind Morgethai's eyes. On a failure, Togomor ignores it or does not. If he ignores it... in that case she has an eighth circle wizard out for her blood, but again some payment from a kind Morgethai, and either possibility would know to check. If he strikes, a prideful Morgethai can see her chance, net gain. A kind Morgethai... may still check on her? She left the letter. Some chance.
Call it an eighth of unassisted capture, for a quarter of an archmage favor. A deal worth making.