She'll triumph over the particular chastisement (period of crisis) that she foretold at Fatima.
Yes, this part of her quote is very clear.
There will be great sufferings and trials in the world in the near future -- to an epic degree, that's why it's the Chastisement with a capital C.
But in the end, Mary (and those that are hers) will be victorious. She's on Christ's team; she can't lose.
But it's more than that. Jesus wishes to glorify His mother by making her, and devotion to her, an integral part of the victory and the restoration afterward.