Nothing really should happen to your green card. USCIS receives such "marriage fraud" denunciations by daily by the dozens by disgruntled family members. The overwhelming majority of such denunciations end up in the wastebasket. They never pursue hardly any of these cases. I wouldn't worry in anticipation.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.
You need to speak with an immigration attorney. As for the divorce, he will not succeed in trying to annul the marriage based on "fraud" under the facts you describe. I hope this info help. Good luck.
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It sounds like you have a bona fide marriage. You usually need to show documents with both of your names on it, i.e. joint lease, joint bank accounts, jointly filing taxes. It is best to consult an attorney.
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