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I agree with my colleagues. A name change is a completely personal matter and should not affect your immigration case. You will have to show your relationship is "bonafide" or real and not for immigration purposes. You will need to do this through other evidence.
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Respectfully, Attorney Alexander Ivakhnenko, Chicago, Illinois 773-562-8602
Keeping her name is an entirely acceptable choice which will not impact the applications merits. USCIS understands that there is no longer a requirement, social or otherwise, for a woman to take her husband's name.
This advice does not form an attorney-client relationship and is merely informative. It should not by itself be relied upon to address a legal concern.