I can help on this; no Church of England Wedding ceremony includes the words ' You may now kiss the bride'. You do often see films though that implies [wrongly] that this is the case.
After the couple has been pronounced man and wife, the wedding party move off [usually to an area of the church known as 'The Vestry',although not all Church of England Churches, especially the very ancient ones include a large enough Vestry] where the Bride and Groom sign the Register [not the Licence] and those acting as witnesses to the wedding sign the Register there and then. At a Royal Wedding, there may well be time for a very quick kiss, but I assume that it is more likely to be in the nature of a very quick kiss on the cheek - there cannot be the risk of smudging make-up etc [TV cameras will be focused on the couple as they then walk down the aisle again etc]. Time in the Vestry is at a premium - in the case of The Duchess of York, her flower headband had to be removed quickly and her veil rearranged to reveal the tiara. With all that going on, there would not have been much time for more than a 'quick peck of a kiss'.
Once out of the Vestry, the first really important gesture that takes place is the First Curtesy, where the new Royal Bride makes her curtesy to the Queen.
As Zonk says, the first kiss the public see is On the Balcony. IIRC, Prince Charles seemed to hesitate for a brief moment, which I think was purely because he was not sure of the protocol of doing so; by the time the Yorks married, the balcony kiss of Sarah and Andrew seemed much more joyous and natural.
Alex