How could your marriage certificate omit your surname? You will have to go and get it corrected at the marriage registry for the district in which you got married then. Clearly if the marriage certificate cannot identify you as the party to a marriage it will also not validate your wife’s claims to be married to you. Note that since you’re applying as a couple (I assume you are) a correct marriage certificate is essential not to prove you are who you say you are, but to confirm that you are truly married. Are you the selectee or your wife?