This is everyone's story. In terms of narration, reason that "She" doesn't have a name isn't because the novelist wants us to interpret her as the plot's protagonist, at least not necessarily. But the name does mean something; it means that every woman and man are subject to this kind of fate. Against all odds, she finds herself in a state of reality that can be best described as nightmarish; her social system is set up to encourage her failure.
Because she is left to fend for herself against trained lawyers with only the help of the public defenders, we know she is not wealthy, and because she is a Native person, she is raised with a different perception of law. Native peoples had law before European people came, but it was not bureaucratic and corporate, and this is, so she feels constantly perplexed and disappointed by the times.
Another symbol of time is the old man who mentions that this unnamed girl would tolerate his creepiness. He admits he is creepy for this detail, because he is narrating at least the opening sequence of the story. So, the old man symbolizes the encroaching nature of his interests—perhaps this could be taken as a metaphor for the patriarchy, showing that surprisingly, this protagonist is not a sensitive person; they are just disenfranchised.
