Can somebody please assist me in finding the direction of the normal force exerted on B? (How is normal force at B also normal to the rod? )
There is no hint provided from which I can conclude the direction of normal force. Can somebody please provide a hint so I can work it out?
P.S
Contact force = Normal force since friction is 0.

It's a very good point, worth to analyze. At B, you can see the force exerted on the bowl by the rod is obviously normal to the rod as no friction force, acting tangentially, exists. Now, from the Newton's third law, the force exerted from the bowl over the rod is normal to the rod too.