This is the list of females of the year according to the Billboard year end charts since 1980 (year by year):
2000: Christina Aguilera
2001: Jennifer Lopez
2002: Ashanti
2003: Christina Aguilera
2004: Alicia Keys
2005: Kelly Clarkson
2006: Rihanna
2007: Fergie
2008: Rihanna
2009: Taylor Swift
2010: Lady Gaga
2011: Adele
2012: Adele
2013: Taylor Swift
There's a reason why Pink's never owned a year, she's always been overshadowed. X wins.