aliturgic
/ˌælɪˈtɜːrdʒɪk/Definitions
1. adjective
relating to or characteristic of a ceremony that is not a liturgy
“The aliturgic nature of the wedding ceremony made it unique and meaningful to the couple.”
2. noun
a ceremony or ritual that is not a liturgy
“The aliturgic rites of the indigenous people were an important part of their culture.”