if you are married sa church, there are two things that you should annul. yung civil and yung church. the reason for this is that the couple is married and is recognized by the society (civil) and by the church .
so if you are married sa church and your marriage is annulled civilly, you may again get married, pero civil lang.
i have an officemate here, who has completed the civil annulment procedures. ngayon, ang nilalakad nila is yung church.