Can a Green Card be rejected under the suspicion of spousal infidelity? I recently had gotten married to my husband who came here from Peru. Our courtship was amazing but, soon after we had gotten married I began to notice that he was spending a lot more time away from home. It was then I realized he had been cheating on me. Once I was able to prove this, the reality settled in that he had used me to obtain a Green Card. However; his Green Card has yet to be issued and we are still waiting on the final paper work. Can a Green Card be rejected under these conditions?