That is entirely a matter of personal preference.
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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.
It is optional and up to her.
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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.
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