Hi aspirant,
This is not a very big problem but it must be corrected in order to to avoid confusion. It is better that you apply for the correction or edit in her certificates that would hardly take 20 to 30 days but making changes to the marks certificate is a hectic task.
If you are going to attend any counselling process in between use her that ID proof which has the same name as on your certificate otherwise carry a self attested affidavit claiming both the persons are same supported by relevant documents.
Hope it helps!!
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