Gaining their mission

Three goddesses have to go to Earth with one goal in mind, but how can they complete that goal if the blast that sent them to Earth causes the oldest to disappear, the second oldest to lose her memories, and the youngest to get sucked into a parallel vortex? In this story, these three girls will go through so much yet the bonds that are so strong will start to break with every second wasted trying to complete their goal and trying to remember what their true jobs are as gods.
Can they do this or will they break under the pressure?