Genocide is clearly gaining something from the people she kills. Sophistication may well be one of them, or it could just be experience. She's done a lot in her few days of life. As for the lasso fraying: while we still don't know exactly why Diana's freaking out, but the fraying probably has something to do with Genocide.
Yeah, those words hit my radar too. What could they mean? We know they can't mean modernized gods, so what does that leave?