She performed the song on German X-Factor because it's been HUGE there for awhile now. I believe it's been charting for 84 weeks now and after numerous talent show performances of it, she decided to perform it.

I think this was originally promo for GlassHeart but with her going in the studio to add more songs to the album and fix a couple things for the next few months, I guess she decided to perform Run.

And I don't think she's changing GlassHeart, just adding more songs (and probably axing Collide off it) since it was originally going to be 10 tracks. Quite a few people who've heard the material said it's her best work, dark, and full of emotion and that Collide wasn't a good representation of where the album was going. My guess is they're adding more songs but also going to restart the era at another time where the market isn't so busy and actually release a lead single that represents the album better.