North Yorkshire Fire & Rescue Service said crews had left the scene but would be continuing to revisit the church throughout the day.
According to the diocese, an investigation officer determined the fire had been accidental.
It said the church had begun working with its insurance provider to assess the damage and hoped the clean-up and restoration process would begin in the new year.
The Christingle and crib service would be held outdoors on Christmas Eve, it said, with attendees advised to dress warmly.
Christmas Day services will go ahead as planned.
Ms Soderman said: “As we prepare to celebrate the birth of Christ in these upsetting circumstances, we hold fast to the message of Christmas.”