You aren't about to let anyone see you with this thing on. Edge or not, the udder is coming off!
You immediately try to dig your fingers into the latex "flesh" the thing is made of. It's hard to get a grip on the slippery surface but you eventually manage to get your hands in there, pinching the udder with your fingers, and maintain your grasp. Once you've done that, all it takes is squeezing as hard as you can, pulling, and... POP! You hear the suction that had apparently been holding the thing to you give way as your attempt succeeds, pulling the udder off of you with relative ease.
The latex seems to have left a rather large pink spot, most likely from all that suction, and looks to have left four strange bruises on that spot (maybe the teats of the udder had more suction behind them than the rest?), but otherwise you're no worse for the wear. You should be able to get on with your day now.