If I trade a Pokemon away & then get it back, will it still obey?

I caught an Abra and evolved it to Kadabra in my Diamond game. Now I want to trade it to evolve it, but I have no badges. I know that Pokemon received in trades only obey if you have certain badges. Now even though I'm its Original Trainer, my new Alakazam would still be recieved in a trade. Will it still obey?