If her asylum was denied it means she is now in immigration proceedings. Assuming this is the case you will need an attorney to represent her. That attorney can also advise you on the best path forward. My firm handles such cases.
Law Offices of Nicklaus Misiti
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Legal disclaimer: The statement above is general in nature, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship.
The short answer is yes, BUT you really need to meet with an attorney to discuss your case. There is too much involved for her case to be resolved in a forum such as this.
Samuel Ouya Maina, Esq. 415.391.6612 email@example.com Law Offices of S. Ouya Maina, PC 332 Pine Street, Suite 707 San Francisco, CA 94104
We would need more information to be able to help you. There are various factors that can be very prejudicial for your girlfriend, such as filing a frivolous asylum case. If she does not have one yet, she definitely should retain an experienced immigration attorney to help her with the removal case and with the application for immigration benefits from you if you decide to marry her.