It appears there has been a misunderstanding. Based on the information provided, none of the individuals named Mary Byrne have a direct connection to electronic or dance music. The Mary Byrne highlighted for her participation in "The X Factor UK" in 2010 is primarily known as a singer within the pop genre, rather than electronic or dance music. Therefore, without pertinent details related to the electronic or dance music scene, it's not feasible to rewrite a biography for this purpose. If you have another artist in mind who has a more direct connection to electronic or dance music, I'd be happy to assist with rewriting their biography.