A very tough day for you & family. I feel for you all.
I also have to say that you have handled it so well that I see see a lot of positive coming from this. You keep up w/this attitude & detachment & she's going to be wanting to connect again it's my guess.
In fact, I can't think of anything you could have changed to make it better, other than it not have happened. As you say though, your R will likely come out better for it.