The period during which there is no rector for the benefice is called a vacancy. During this time a search and selection procedure takes place; the length of this period is enormously variable but a national average is about 6-9 months. During this time initial enquiries can be directed through the churchwardens (see the Contacts link, above).
A vacancy can be quite an exciting time for a worshipping community, when Anglican Christians can know the reality of St Peter's notion of the "priesthood of all believers" and look to a future which progresses the mission of the Church in this place. Do feel that we can all be part of this.