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I am very sorry to hear about this situation. One can try, yes. One of the grounds for annulment is fraud, or rather, a fraudulent act or misrepresentation which went "to the essence of the marriage."
If the Court is convinced that she married you only for immigration purposes, then it may grant the annulment. If so, USCIS may revoke her greencard (because if the marriage would be seen as void, so would her greencard based on said marriage).
However, I will say that this may be hard to prove to the Court.
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