invented to keep out the cold
Silent Image over the other door, then she can talk. The guard just saw her cast the giant (apparent) wall, and each of them either failed to see through it or saw how much it saved their lives. Either way, that should get them impressed with her. There won't be a better chance to maneuver them where she wants them to go.
First, she turns to the guard who sundered Lady Andaisin's focus. "Thank you for handling the unholy symbol. Without that, we were two seconds from all dying." Or perhaps running, in her case, but she's not going to say that out loud.
"On that note, she was a fifth circle cleric. And a just recently fifth circle cleric would not have ashed the Pharasmins in a single Flame Strike, she was either high in fifth circle and lucky or scraping the bottom of sixth. The strongest public clerics in Korvosa are Abadar's seventh circle, Pharasma's seventh circle, and Asmodeus's sixth. That puts her as the fourth-strongest cleric in the city, and she was supported by" six, six, another two, that's "fourteen second circles. I'm sure the guard would have known if there was an Urgathoan cult that strong, even in the Shingles. These people came from somewhere outside Korvosa, and they came for a reason. Urgathoa means disease or undead, and they obviously weren't putting much effort into agitating the Vault."
She times herself so this happens right about as the Sarenrite channels the second time. "Captain! Have you been getting reports of disease, anywhere in the city? If not, you need to be looking into it, actively investigating as soon as you can once we're done here. Disease does not wait, and this may be our only warning before all the Shingles are alight with plague."
Yes, if this works, this will bring down the price of Remove Disease. It will also keep the Urgathoans out of the city, and not able to spread their arcane version, however it works, among the local wizards. A city held by an Urgathoan cult out of the Academae is a city with nothing good to scam, no chances to be clever... A healthy underworld needs a healthy city to feed on, and the Urgathoans have no such scruples. She, and the guard, need them and whatever they've been working on out and gone from Korvosa. This is her territory.