another canning question

I hate to bother all the learned people on here again but my wife and I are having another dispute when it comes to canning tomato juice. She plans to can several quarts of tomato juice tomorrow but is very afraid that the jars may burst. The problem, according to her, is that she is afraid that after boiling the jars and she and takes them out, they will break when they hit the cool air of the air-conditioning. The problem is that her mother told her that there should be not anything that cools the jars when they come out of the boiling water. That meant no open windows, no fans, nothing. Now, tomorrow, she is planning to make some juice but she's afraid that the jars will break because we will have the AC on. She asked me to post this problem on here to see what everyone thinks.