Question

what do you understand by the huts of historys shame

Answer 1

By looking at the second line "Up from a past that's rooted in pain" we can see that the author is referring to something painful that has happened in the past. Looking at the line in question, the author refers to the "history's shame."  This suggests that she is speaking of an overarching "shame" as opposed to something personal, because this "shame" belongs not just to her, but to all of history.