An important point to distinguish…
Very, very important distinction. And the church (or any house of worship or religious tradition part) is entirely optional and very common to just skip it completely. Religion has nothing to do with marriage unless the couple wanting to be married wants it to. It is by no means necessary, nor does it matter which religion does it.
Marriage is a legal status. You can get married by a judge at a courthouse, like my parents did. Religious doctrine has no status to make any decisions about what is and is not a valid legal marriage.