Well, it would be odd if they just stood there with him this whole time.
She isn't going to go staring at anyone. She notices that no one else is doing it ('observing cultural behavior to blend it' is in field cover lessons) and it's not really a good idea in most places and she definitely doesn't want to make anyone angry if she can help it. But she has other senses available (using them, collarless and on her own, will be pushing around fear, but 'use default-collar-permitted amount of senses that could make a serious difference at succeeding in this job' currently seems a better risk than 'mess something up in a way senses might have helped her avoid').
People around looking somewhat different from humans is the sort of thing that happens when you're on another planet, she thinks.
The better she can manage the 'be in this city' part of what they apparently want from her, the more chance that she can maybe deflect them on doing magic until the four days are up. (She thinks she can probably hold out that long under torture if they insist on magic anyway, knowing what'll happen if she doesn't, but maybe they have something creative or maybe she's overestimating herself and maybe they won't stop at that point once the days are past and she can obey about magic, and anyway she doesn't at all want to do that.)
She mentally divides up the money among the days she has left, with some left for after that because 'may do magic' doesn't actually mean 'will have more money'. She goes to look at the places the woman recommended, to see if she can afford to sleep there, and to find and look at a/the market, to see if she can afford to eat.
She keeps an eye out for things like 'jobs' and 'local power-havers and what's going on with them'.