Justin Welby archbishop of Canterbury

As I write this, Justin Welby is being enthroned as the 105th Archbishop of Canterbury. At the ceremony are not only leading figures from the Church of England and government but from various other religious groups, from Islam to Hinduism. Humanists are not invited in any official capacity, but there is at least one humanist in the area – I came to Canterbury for a quick interview on Radio 5 Live about the Church's approach to those of different beliefs. As ever with these things, I didn't have enough time to say everything I wanted, but there are some very important issues around how the established Church of the UK approached the non-believers among us.

The Church has opened its doors to dialogue but so far this is dialogue only with the religious, excluding the huge proportion of the population (between 20 and 50 per cent, depending on your survey) who have no religion. This is worrying as the Church looks to play a more active role in the provision of public services with a government that's happy to let them do just that. Currently, the Church runs over 4,800 state schools in England and is free to exclude the non-religious from applying, or save certain places only for the faithful, if a school is oversubscribed.

It is truly astounding that in the 21st Century children can be turned away from public education because of their parents' beliefs. This also adds to social exclusion, as middle class parents are better able to work the system. The Church also insists on maintaining the historic privilege of having its Bishops in the House of Lords, giving it further undue influence. This is not the sign of a church that values inclusion.

Welby's choice of a more diverse audience for his enthronement is a nice gesture but an empty one for as long as his Church continues to insist on privilege rather than approaching those of other beliefs with the humility and desire for equality that should mark the Church of Christ it claims to be. I have had the privilege of working with some amazing Anglicans through interfaith and dialogue work, both clergy and lay people- the Church needs to catch up with its believers.

It's a high hope, for sure, but Justin Welby is presented with an historic opportunity to change the seemingly entrenched state of affairs. I don't mind if atheists can't participate in his enthronement service, I do care if we can't join in public services. It has just been announced that the new Archbishop is to meet campaigner Peter Tatchell, which is a welcome development, as is his outspoken denunciation of homophobia. But we need more.

The Church's attitude to non-believers in general and the non-religious in particular needs to change.

Listen to Rory Fenton on Shelagh Fogarty's 5live show here (he's on 1 hour 35 mins in))