Hello there,
You should have corrected this when the correction window was open. Nevertheless, you don't need to worry. If there was any issue, the authorities would have definitely given you a notification about that. If you haven't received any such notification or email, then you don't have to be tensed. You will get your admit card, and can also appear for the examination. Moreover, your father's name doesn't affect the merit list of the exam, hence it won't create a problem. While, a problem may (or may not) occur during your admission. I would suggest you to keep an affidavit ready from beforehand, showing that both names belong to the same person. Then there will be no more issues.
Hope this answer helps you.
Thank you!!