The women are to tell the disciples "and Peter" that they would see Jesus again. Perhaps Peter had cut himself off from the disciples after denying Jesus. We know how things turned out, but Peter didn't know if there was any hope and he wept. The risen Lord appears to Peter. Our failure is why He came. He feels for us and wants us to go to Him.
The video of the entire service including recorded Hebron congregational singing can be viewed here.