Attempt to use a different type of screwdriver head than the one that drove in the screw -- ideally a Torx (also known as a star bit) screwdriver or an Allen screwdriver -- with a larger head size. Apply downward pressure and rotate the screw counterclockwise to attempt to grip and unscrew it.
Place a wide and thick rubber band over the screw head. Use the screwdriver to dig into the rubber band (providing additional grip) and rotate it counterclockwise.
Use needle-nose pliers to grip the screw head once the screw is partially pulled back from the material. Slowly rotate the screw counterclockwise; do not rip the screw out as this can badly damage the housing material.