Mike Jackson entered the game in the top of the 6th with the score 13-6, with the White Sox in the lead. He gave up 2 runs in the 8th, but Guillen decided to leave him in for the 9th with the score being 14-8. He then had Polite warming up in case he was needed. I think Marte may have warmed up for a short time, but Guillen figured that the game was in hand, so he had him sit back down. BUT, then Mike Jackson gave up a 3 run homer to Thome, and then it became a save opportunity with the score 14-11.
He then brought Polite in the game because he was the one who was warming up at the time. It was not because Polite is the new closer, simply because he was the one available.
The good news is that as soon as Thome him the home run and Polite came in the game, Takatsu began to warm up. There was no need to bring him in as Polite finished it off. Dont worry about it.