Step 1 - Briefly remembering heat exchange
When two objects are put into contact, they exchange heat. The direction of the heat flow is given by the temperature difference between the two objects.
Heat always flows from the hotter body to the colder one.
Therefore, heat will always from greater temperature to lower temperature.
Step 2 - Answering the exercise
The copper is hotter than the water. Therefore, it will transfer heat to water, but probably not enough heat for the water to evaporate, since water's boiling point is 100°C.
Answer: the copper transfers heat to the water until thermal equilibrium is reached