The couple chose the venue in order to be surrounded by the Christmas trees that fill the Priory during winter.
The wedding was a family-oriented affair with a bridal party consisting of the bride and groom's brothers and sisters.
Romantic harp music introduced the bridal party, but events took on a more comical tone when Claire's two-year-old nephew began repeating her name every time it was said during the ceremony.
Afterwards, the newlyweds heard a letter from Tottenham Hotspur manager Harry Redknapp, along with speeches from family and friends.
"(The letter) was a very personal touch," said Claire.
"It was the most amazing day of our lives and one we will remember for a long time."