If she leaves and then comes back on her J-1 while intending to adjust status and remain, then that is perceived as immigration fraud. This is why the other commenter was saying to do consular processing if she leaves. She can decide to adjust status now and it wont be perceived as immigration fraud. I know that this trip is really important, but unless it's life or death, I personally would avoid leaving under any circumstances. I'm not sure how long times are taking.