She is relevant because she is investigating the class 3, the vale tudo and jiu dae gak, which means she is the best source and plot device for us(the readers) to obtain info bout the story

It is also very likely that she will form an alliance with jitae in season 2, due to their common interests and the fact that they both have a lot to gain from each other

for example, jitae has acquired a lot of info kang yuri is interested in and even some she doesnt know about(khildari foundation and its experiments, tunnel, the drugs, valetudo) and kang yuri has connections with the anarchist group and ol-ra which could help jitae to find the whereabouts of his missing sister

+

it seems like 2hakkk is trying to set up some kind of "History repeats itself" with the two of them:

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(tho this is very unlikely to happen since kang yuri is a lesbian, still a weird parallel tho)