I have a Yugioh question I need help with...

[Kurtz]

Divine Wrath would negate and destroy Prime Material Dragon. Prime Material Dragon's effect is a Spell Speed 2, whereas Counter Traps (including Divine Wrath) are Spell Speed 3. The only thing that can be chained to a Counter Trap/Spell Speed 3 is another Counter Trap. So Divine Wrath would go through, negating and destroying PMD, and Barrel Dragon's effect would go through if the target was still there.

Hope that helps! :P