Our Episcopal minister would not let us play “Here comes the Bride” for that reason.
IIRC, the bridal march was composed as part of an opera, in which it is sung when the bride is being led to consummate the marriage. So in context it is rather inappropriate for a church wedding.
Considering the dark pagan theme of ‘Lohengrin’ and its doomed marriage, the ban of ‘Here Comes the Bride’ (’Bridal Chorus) is very appropriate.