That was news to me as it must have been to Mrs Miller and her family.
But under new proposals, to be outlined by Mrs Miller, this is expected to be permitted.
Mrs Miller said the government recognised that "some churches won't want to participate in same-sex marriages".
Mrs Miller said there was no need for a wider inquiry while the police investigation was going on.
Mrs Miller is meeting members of the Hacked Off campaign on Friday afternoon and will discuss the position taken by Conservative ministers.
Mrs Miller also agreed that Ofcom should proceed on the potential separation of the Wales and West Channel 3 licence region.
Mrs Miller told the Commons in December that no religious organisation "will ever be forced to conduct marriages for same-sex couples".
In a recent blog, Mrs Miller explained that the Church of England would itself be able to lift the ban.
The Archbishop of Wales said his Church had not been consulted and he wasn't happy with what he heard Mrs Miller say.
Mrs Miller told the Commons she was satisfied the corporation was taking the allegations "very seriously, " saying the BBC had launched three reviews.
Mrs Miller's parliamentary statement led to suggestions that the Church of England and the Church in Wales would be banned from carrying out gay ceremonies.
In his response, Lord Patten said Mrs Miller knows "how seriously the trust takes the allegations", and added the inquiries would be "comprehensive and independent".
Mrs Miller added that the BBC's second review - undertaken when the police advised it was appropriate to do so - would focus on Savile himself.
Mrs Miller has written to the chairman of the BBC Trust, Lord Patten, to stress that the corporation's investigations into itself should be conducted "thoroughly".
Mrs Miller told MPs she fully supported the institution of marriage and said extending marriage to same-sex couples would "make sure marriage is relevant for our century".
But in view of Mrs Miller's expectations and the huge increase in Mr Miller's wealth during the marriage, he nonetheless felt the size of the award was fair.
But Liberal Democrat MP Sir Alan Beith asked Mrs Miller to take note that "many" churches had a "genuine" fear of legal challenge, even if it is unsuccessful.
Mrs Miller has said she is reluctant to legislate but ministers have floated the idea of a Royal Charter to monitor the operation of the new press watchdog.
Mrs Miller defended the involvement of Atos as a major sponsor of the Paralympic Games, saying that such sponsorship was essential to mounting large sporting and cultural events.
Mrs Miller promised a "quadruple lock" to protect religious freedoms.
BBC: Gay marriage ban 'step too far' says Archbishop of Wales
Mrs Miller told MPs last week that the BBC was taking the sexual abuse allegations against Savile very seriously and welcomed its decision to set up three independent inquiries.
BBC: Jimmy Savile scandal: Lord Patten backs BBC independence
Mrs Miller is currently the Minister for Disabled People - a bonus prize if you can name the first Tory promoted from that job to Secretary of State for Wales.
Mrs Miller, who is, as I write, opening the debate on the Bill, has said that both churches would be able to opt in to the new law, but in different ways.
Asked about the availability of broadband internet nationally and the new 4G mobile phone network, Mrs Miller said that recent announcements on cutting red tape would help speed up delivery of the infrastructure.
Mrs Miller assured MPs a "quadruple lock" would be put in place to protect religious freedom and ensure religious institutions who do not want to conduct gay marriages will not face legal challenge.
Mrs Miller said the Church of England and Church in Wales had "explicitly stated" their opposition to offering same-sex ceremonies, so the government would "explicitly state that it will be illegal for the Churches of England and Wales to marry same-sex couples".
Mrs Miller said marriage provided the basis for people to "commit to stay together for life" but former education minister Tim Loughton, now a backbench MP, asked why civil partnerships - which have been in place since 2005 - did not provide the same foundation.
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