That was not a single strap dress. Her right clear strap broke during the skate and she couldn't stop to fix it. If you look at the beginning of the performance (especially in the replay) she has both straps working. It was an unfortunate wardrobe malfunction. She should have pulled a Tonya Harding and stopped to ask for a redo.

Aww, I think she handled the nip slip with pretty good humour and grace. Really why should anyone be offended by an understandable accident, it's just a body part, and my I say a very shapely and attractive body part at that. :)

I think both handled the situation with poise and mutual understanting.  She had two straps at the beginning of the routine but during the clip one disappeared.  I saw her include a costume adjustment during the show that was only visible because I was watching for it.  Her partner was a real proffesional by his ability to keep his concentration on the routine and not the beautiful appendage popping up from time to time.  Real poise for both. My congratulations!