What do you think?
She got all emotional about it on Twitter after fans were sending her messages of adoration for the song;
"Been crying reading all your messages for my new song. It means so much to ME."
She also released some new artwork, which looks pretty much the same as all the other Born This Way artwork that's been put out there.
We're gonna be brutally honest here, and say that at the moment, we think the song's crap. It could grow on us, but right now we're not feeling it.
Obviously we're not gonna completely write it off - it's Lady Freakin Gaga afterall, she knows her shizz - but on the first few listens we think it sounds like the rubbish B-Side to the Baywatch soundtrack.
Seriously. Play the Gaga song below, and while you're listening watch the Baywatch video below that (on mute, obvs).
Got it playing? Turn the volume all the way down on the next video and watch that while Edge Of Glory's on.
We're pretty sure not everyone will think the song's as crap as we do, but after the monumental force of Judas, it's come as a bit of a let down. A bit like Mean Girls 2.