Answer
The force of the hinge on the beam is to the left and downward.
Work Step by Step
Consider horizontal forces on the beam. The wire pulls the beam to the right, so the hinge must push the beam to the left to balance that force. The net horizontal force on the beam is zero.
Consider torques on the beam, with the point where the wire contacts the beam acting as the pivot. The weight of the beam exerts a torque that points out of the page (i.e., it would tend to rotate the beam counterclockwise around that pivot). The hinge must push the beam downward to balance that torque, creating a countertorque that points into the page (i.e., a torque that would tend to rotate the beam clockwise around that pivot). The net torque on the beam is zero.
