Q: What is the Church’s mind on non Catholics reading at a funeral Mass?
A: Directory for the Application of Principles and Norms on Ecumenism 133: “133. The reading of Scripture during a Eucharistic celebration in the Catholic Church is to be done by members of that Church. On exceptional occasions and for a just cause, the Bishop of the diocese may permit a member of another Church or ecclesial Community to take on the task of reader.”
So you may ask the bishop for permission.