It depends - 回复：紧急救助： 有TN签证，如果申请绿卡失败后，是否TN也失效了？

When you have used neither AP nor EAD, you're fine until current TN expires.
http://blog.wenxuecity.com/blogview.php?date=200802&postID=7147

BTW, a denial of I-130 by a USC is rare.