A MEMS shutter including: a substrate of semiconductor material traversed by a main aperture, and a first semiconductor layer and a second semiconductor layer, which form a supporting structure fixed to the substrate; a plurality of deformable structures; a plurality of actuators; and a plurality of shielding structures, each of which is formed by a corresponding portion of at least one between the first semiconductor layer and the second semiconductor layer, the shielding structures being arranged angularly around the underlying main aperture so as to provide shielding of the main aperture, each shielding structure being further coupled to the supporting structure via a corresponding deformable structure. Each actuator may be controlled so as to cause a rotation of a corresponding shielding structure between a respective first position and a respective second position, thus varying shielding of the main aperture. The first and second positions of the shielding structures are such that, in at least one operating condition of the MEMS shutter, pairs of adjacent shielding structures at least partially overlap one another.