Mpho Tutu van Furth, who’s a practising Anglican priest within the US, had been requested to officiate the funeral on Thursday in Shropshire.
In a statement carried by the BBC, the Diocese of Hereford said: “Advice was given in line with the House of Bishops current guidance on same-sex marriage.”
Ms Tutu van Furth reportedly told the broadcaster the choice “seemed really churlish and hurtful”.
The Church of England doesn’t enable same-sex marriage in its clergy, however The Episcopal Church within the US – of which Ms Tutu van Furth is part – does.
She had her licence rescinded in South Africa when she revealed her sexuality.