Arena vs Etched Champion?

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Since arena is colorless, if I activate it targeting a colored creature I control and an Etched Champion, will the Etched Champion take damage or will he be protected from that damage?

Edit: Derp, just reread the card, its a creature of an opponents choice.  Fail.  That being said, out of curiosity, what is the interaction regarding these two cards?
The creatures deal damage to each other so it would be based on the creature's color.
Don't be too smart to have fun