All perfect praise be to Allah the Lord of The Worlds. May His blessings and peace be upon our Prophet Mohammad and upon all his family and companions.
It is imperative that you proclaim this marriage to preserve rights. Therefore, you must register it in an Islamic court. A second marriage isn`t forbidden, however, if the unregistered marriage had taken place without the consent of the woman`s guardian nor the presence of two honorable witnesses, then it is considered void and your relationship with this woman is forbidden. Therefore, you must conclude a new marriage contract with the approval of her guardian and the presence of two honorable witnesses. We advise you to fear Allah and adhere to the teachings of Sharia in this regard since sinful conduct is that which turns in your heart (making you feel uncomfortable) and you dislike that it would be disclosed to other people. And Allah the Almighty knows best.