In Paul's letters, "the body of Christ" (soma christou) does not refer to the church. The body of Christ is, first of all, Christ's own body -- his life and death. It is a metaphor for a way of living: being Christ-like. "You are Christ's body" may mean that you are to live like Christ. If we understand the body of Christ as Christ's body crucified, the image of this body of Christ provokes all kinds of bodies.
For more about this kind of reading of Paul's letters, see the following books:
- Christ's Body in Corinth: The Politics of a Metaphor (Fortress Press, 2008)
- A Theological Introduction to Paul's Letters: Exploring a Threefold Theology of Paul (Cascade Books, 2011)