When you receive the licence you must check that the details are correct and when happy that is the case, you sign the licence.
Since the details are not correct then you can not sign the licence and you must contact the CAA.
You can not exercise the privileges of a licence unless you have signed it.
So contact the CAA asap and get the error corrected.
Yes it is a small error and a pain in the butt. However, until the error is corrected, the person described as being the licence holder is not you!
Regards,
DFC