invented to keep out the cold
Good. They listened. That means she is now a suspect in whatever was going on, and she needs to be not here.
When she woke up this morning and flicked at her shadow hopefully, the blob floated out like it had never been gone. It was the one which wrote everything from the mystery diviner, so it definitely needs to be gone, at least for the next week. When she sees the reaction in the newspaper headline, though, before telling it to go away, vanish, disappear as soon as possible, she sees it pointing to something else in the paper.
...the sewers? What about them? The rat swarm wasn't a real threat to anyone but her... Wait. The otyugh that killed her in the vision. She's heard stories from her mother of the World Beneath, and she spoke of otyughs as disgusting, but perfectly friendly if you made a deal with them. Beneath, they were a waste disposal system which made perfectly good guards against basic unintelligent threats which could be negotiated into not eating anyone actually important.
Korvosa isn't actually stupid. Their otyughs should have a perfectly functional deal. The one that... would have killed her... should never have been doing that. Something is wrong in the sewers, people will be getting sick in Old Korvosa, and an otyugh is going to go on a rampage in slightly over a week.
She nods to the blob, and they leave the door and go their separate ways. She rushes to Old Korvosa, to Mika's apartment, only just noticing it vanish as soon as she's a few houses away.