What do I need to do if my husband is the petitioner of my case and he has been deported?

Both you and your husband need to retain an experienced immigration lawyer right away. Your husband is not a US citizen and hence his pending deportation. I assume therefore he is a legal resident alien. But even as an LPR, I am surprised a petition filed since 2006 should have been approved by now and so, you need to inquire as soon as possible the status of the petition. Despite his pending deportation, you can still get green card but not after his deportation order becomes final.

Your question requires an attorney consultation. It is not a simple question that can be answered on this type of forum. There are many factors that would need to be considered and evaluated. I strongly suggest that you contact an experienced immigration attorney for a face-to-face consultation and give him/her all of the facts surrounding your situation. (S)he would then be in a better position to analyze your case and advise you of your options.

If your husband was deported before you were granted permanent residency, the petition that he filed for you will most likely be denied by USCIS. If the petition has already been denied, then USCIS will take action to revoke the approval.