In Never Let Me Go, what is the significance of going to Madame's house in order to get a deferment?

This is one of the most
tragic points in the novel, in my opinion. Let us not forget the context of this trip to revisit
Madame. They believe that Madame and their former headmistress is able to grant clones who are
sincerely in love a deferment so that they can enjoy a stay of execution before they are called
to donate their organs. For Tommy and Kathy, this is the only hope they have before Tommy is
called upon to continue the process of harvesting. It is therefore incredibly tragic when they
find Madame and their former headmistress, only to be told that what they have heard is an
absolute myth and there is actually no such deferment possible, even for those who are sincerely
in love.

This represents the last extinguishing of the spark of hope that
Tommy and Kathy had for any kind of future. After this, all they have to look forward to is
their own completion and separation. Tommy and Kathy are shown to face a grim and unyielding
future which has no sign of relief or let up.