The lyrics feature the lines, "forget your balls and grow a pair of tits, it's hard, it's hard, it's hard out here for a bitch", which could be a spoof reference to Three 6 Mafia rap track Hard Out Here For A Pimp.
Fans were able to find the song after entering the answers to clues she posted on Twitter, each of which gave the name of a well known female figure.
Her video comes amid heightened concerns about the portrayal of women in music videos. Annie Lennox recently called for age-ratings for music videos because of increasing sexual images, and Miley Cyrus caused a stir when she appeared naked in the video for her single Wrecking Ball.
Chart-topping star Robin Thicke featured a number of models dancing topless in the video for his single Blurred Lines, which prompted singer Charlotte Church to round on him during a keynote speech to the radio industry a month ago in which she highlighted the sexism of the music business.
Allen, 28, stepped back from the music world after promoting her 2009 album It's Not Me, It's You and had two daughters with her husband Sam Cooper - Ethel and Marnie.
- PAA