I was kind of hoping that she would go back enough times and do enough cool and crazy shit to actually change things
I've been thinking back on the story and wondering--CAN she actually change anything? In some time travel narratives, changing the past is impossible, in others it's not. She certainly changes with each jump back, but does the world? Of course once she goes and comes back if she had been famous enough she can look up what history says about her, but maybe history had already said that about her before she left?
I don't know if I prefer it better one way or another, if the past is immutable it perhaps could just add a layer to her sense of futility with the struggle. Could maybe even be a metaphor for how hard it would be for a single person (even in multiple lifetimes) to change history.