No, don't worry so much about it as it is just a small minor mistake and it is not even related to you so it won't at all be a problem. You can rectify it at the time when you will be getting enrolled in any college. No one is even going to ask you about this problem at the time of exam because they check candidate's details.

Still, you can take a valid government id card with you so as to give proof of the correct name. Anyway 99% you won't need it still taking that with you will make it easy for you. All the best for your whole process!!