A story going viral on Facebook claims a sizeable minority of women have Y-chromosome gene sequences in their blood due to their promiscuity--can you debunk this?

There's an article that's going viral on Facebook that is making the claim that a sizeable minority of women have Y-chromosome gene sequences in their blood due to promiscuity. What is wrong with this conclusion? http://www.collective-evolution.com/2014/03/18/this-study-will-make-you-think-twice-about-who-you-are-getting-into-bed-with/