Silenced reasons

I am stranded in the desert, desperate for an ice cold beer. The devil offers me one, in exchange for my child.
(Dancy quoting Temkin, p181 of Moral Reasons)

Do I have any reason to give up my child? This reason will certainly not be decisive. But is my desire for the beer outweighed, or silenced, in comparison to the idea of losing my child? Does my desire retain any force, or none at all?

I'm tempted by the idea that it's vastly outweighed, but retains some minimal force. What do others think?