I wouldn't say any female ran 2013. It isn't a stan thing, it's just there was no dominance in 2013 by a female against the others.
All the females who did something came the last 1-4 months scored 1 hit, and maybe sold like 750K. (Katy, Bey, Lorde, Miley, Gaga etc)
A female who ruled a year imo had multiple big hits, atleast a Platinum album in the timeframe, and had multiple Awards + moments. None of them were really able to achieve that, due to the timeframe.
Miley probably had the edge over both imo. WCS + WB being 2 huge hits, decent album sales compared, and she had huge media.