She was given away by her father, actor and musician, Keith Allen. Her dress, designed by Delphine Manivet, had long lace sleeves and a sweetheart neckline.
Ms Manivet later confirmed the singer was pregnant, saying: "She is very happy... it is something wonderful."
The Paris-based designer said: "It's beautiful that she is pregnant, and I am very happy for her."
Speaking of the vintage-inspired dress, she added: "You can see of course the little stomach - it looked very cute with the dress.
"For me, and for her too, when you're pregnant you want to show that, but also be respectful, so the dress was perfect for her for that moment."
The couple have been together since 2009 The bride carried a bouquet of white roses. T4 presenter Miquita Oliver, a childhood friend, was one of her bridesmaids.
Two roads, five footpaths and three bridleways around the village were closed during the wedding.
The bride and groom, who have been together since 2009, had paid for extra policing.
In November the couple announced the singer had suffered her second miscarriage, six months into her pregnancy.
She also suffered a miscarriage in 2008 when she was with Ed Simons, of the Chemical Brothers.
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