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yeah, it should be okay to trade the extra copy, as long as you've activated the game.

The way I see it is it's like getting trading cards from a game. You can do whatever you wish with it.

No, you MUST contact Steam support and DEMAND they activate the second copy to your account as well.
Either that or get some poe-tat-toe and a couch and go wild.

No you must give it away here.

Or you can trade it :(

Don't mind the trolls.
Yes, you can trade the extra copy. As long as you activate the game upon winning, you can feel free to do whatever you may want to do with any other copies of the game.

The giver has a claim on the extra gift, if he doesnt claim the extra its yours to whatever you want