OK, no two year HRR. Did the attorney comment on the issue of getting successive J-1 visas in the mode she is using them?
For the existing visa, your relationship is not a problem. It MIGHT be an issue when applying for a new visa.
It's got nothing to do with them getting into relationships when here. The problem is entering the US claiming you have no intent to stay on a non-immigrant visa when that is NOT the case.

