It depends - 回複：緊急救助： 有TN簽證，如果申請綠卡失敗後，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.