Being flawed human beings (all of us), we tend to misread signals in our favor. You may think this is a cool move because you're so over how she suddenly woke up one day and just stopped loving you (out of nowhere!), but she will see it a final play to win back her affections. And really, if you search within yourself, you might find that she's right. Just say no to using your penis to win a woman back. For one, it won't work. And truly, you (and your penis) deserve better.
She broke up with you.