Folks I strongly recommend that everyone with a pending VAWA application carry a copy of their USCIS receipt notice and a copy of their I-94. Having these documents on hand ensures that if stopped by ICE, you can present official documentation from Immigration to verify your status.
I have always advised my clients that they could travel abroad with advance parole. However, last week, I emailed all of them, advising against traveling abroad with advance parole for the time being. While VAWA petitioners do not trigger the 3/10-year ban, there is currently uncertainty about how CBP will handle cases involving VAWA petitioners who were previously without status and left the country, then attempt to reenter. Legally speaking, it should not pose an issue, but due to these uncertainties, I recommended they refrain from traveling abroad for now.