Forum:Brionac Effect Chain

I just have a question regarding Brionac, Dragon of the Ice Barrier's effect.

Say for example I activated the effect of "Brionac, Dragon of the Ice Barrier" and selected 1 face-down card my opponent controls, then he/she chained it, activating the face-down card "Shrink" and targeting "Brionac, Dragon of the Ice Barrier".

Of course Shrink Resolves first and reduces "Brionac, Dragon of the Ice Barrier" attack by halve. Then the effects of "Brionac, Dragon of the Ice Barrier" resolves.

Question:

Will "Shrink" return to my opponents hand?