There are so many things I want to point out about Takao Hijiri.
How they fetched the letters address for the goddess.
How she can so easily guess MC is alive when that is something probably never happen before.
Even when she met Eve, how she guessed her's master capable of surviving the stampede is bullshit. Her master could just be running ahead to check on thing or something else, there are many other theories can work.
And most of all. She just come to this world recently, how she can do all that, without the goddess knowing at that. She was just a highschool girl on earth before.
Even a information broker of this world would find this hard but a highschool girl can do it so quickly. If she has some unique ability make her gain access to info easily is one thing but not. It is sheer bullshit imo.
Fetched for letters address for Vysis? In this case, we can assume that Hijiri has an inside collaborator close to Vysis. It can explain why she can get her hands-on info that should be sent to Goddess. The collaborator's name is revealed in WN, but it's a spoiler.
The reason why Hijiri guesses that Eve's master can survive the stampede is still grounded IMO. Remember her wording in chapter 42.1. To Hijiri, the fact that Eve is willing to rush out to find him regardless of the stampede can speak for itself. In most cases, Eve would give up if she knew her master could not survive the monsters' migration. Or at least she would wait until the stampede stopped before trying to venture out. And Hijiri has considered that info. Moreover, the case of Eve's master running ahead is unlikely. If he couldn't survive against a group of Human-Faced, he would have been in hiding already. This cannot explain why Eve is out there or why he doesn't go back after leaving her there for so long without returning. He might interfere in Eve and Itsuki's fight if he was near there. Or he may hide somewhere near Itsuki and Eve when Hijiri comes, and she would have detected him because of her heightened sense and her unique skill.
And in this chapter, Hijiri has a bunch of information from her inner collaborator to reach the possibility that Mimori Touka is still alive. Remember that it's still a possibility, and she is never sure about that, just keep it in her mind that this theory may be true.