Thank you so much, 8 master!
But I heard she can stay here illegally since I am the citizen, our case doesn't fall into that catergory?
-If she is arrested due to the illegal stay, she will be depoted no matter whether you are a US citizen or not (of course the chance is small to this case). By the way, she can not get the green card to wash out the illegal stay due to her J-1 two-year home residence limitation. Of course, if she can get the J1 waiver, she can get the green card under your sponsor no matter whether she is legal stay or illegal stay.
Does that mean she will be bothered by the J1 waiver in the future even if she stays here illegally without any job?
-Correct. See above answer.
