What is the current when there are no resistors?
"So why isn't it?", while solving circuits we assume the wires to have zero resistance, otherwise it's specified that the resistance of the wire isn't zero and also the value of that resistance is given. If it were a real battery it would have some internal resistance, so simply add the internal resistance to the total resistance of the circuit, in your case the resistance of the wire and calculate the current the way you did it before.