One of the main points of Katniss' story is the choice between living under the orders of both the Capitol and the Rebellion, and the possibility to be killed; both of these in conflict with personal interest (read: family) and becoming a memoir, a heroin for anyone willing to rebel [not to confuse with being a (R)ebel].
All interpretations I've read here are pointed in the right direction, but one aspect of the story seems to be overlooked. Katniss had to choose many times between her death or a death of someone close to her. Mainly referencing the books, she often thought about Peeta being left to die, rather than being captured and tortured by the Capitol. 
The song itself represents her and Peeta, she being murdered and him being the one making the choice. Who is going to judge Katniss' choice? Her family, by leaving them in this world? Her "lover" Peeta, who would like to escape from everything and live by her side? Her "friend" Gale, who would like to fight for both his family and the principle? The Capitol, which would like her to become deterrent? The Rebellion, which would like to use her as an instrument?
This is the interpretation I would go for - choose whichever of these questions, whichever suits you the most, and you can now be personally connected not only by distant analogies, but via your personal choice.