System and methods for transversely displacing structures in the body can include a device for displacing structures in a patient's body, the device having: a handle; a first longitudinal member fixed in position relative to the handle; a second longitudinal member coaxial with the first longitudinal member, the second longitudinal member movable relative to the first longitudinal member between a retracted position and an extended position; and at least one resilient blade extending from a proximal end to a distal end, the proximal end of the at least one resilient blade mechanically fixed in position relative to the second longitudinal member; wherein the distal end of the at least one resilient blade is engaged with the first longitudinal member when the second longitudinal member is in its extended position and disengaged from the first longitudinal member when the second longitudinal member is in its retracted position.