For heat energy to spontaneously flow from the larger beaker of water into the smaller beaker, the temperature of the larger beaker must be higher than that of the smaller beaker. In this case, the smaller beaker is at a temperature of 65°C. Therefore, for heat to flow into the smaller beaker, the temperature of the larger beaker must be greater than 65°C.
In summary, the temperature of the larger beaker must be above 65°C for heat energy to flow spontaneously into the smaller beaker.