It's a unit of time. There are twenty-five of them in a day, and the receptionist casts a time spell to display how quickly the subdivisions of angles go by.
Odette pokes at her with her Sympathy senses. There isn't much in the way of meaningful difference. Since she's an elf, she looks like sixty instead of twenty when Odette's done with her, not that Odette has been informed of that.
Eventually the receptionist is replaced by a different receptionist, presumably because the first one's shift is over, but they must be taking a heck of a cut because they're really excited about continuing to bring her old people.
The scry's zoomed in enough to make out Illia, so it's hard to say. Deserts are mostly an Espaal thing? So maybe Espaal somewhere? It would be easier to tell if she were near civilization.
"...Either way, she's in a desert. And--she hasn't gotten to sleep at all, has she--I should have paid more attention to the time--can you get her here now?"
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And indeed half an hour later the receptionist shows a little old lady to Odette's temporary office!
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They find her an elf next. The elf looks sort of like a human except with long pointy ears, white hair, and purple eyes.
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The receptionist will keep sending in old people until Odette says she's done, and will tell her how much cash she's accumulated.
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Odette doesn't actually notice how long it's been until sunrise, if it gets that far.
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There she is!
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