I have a heat pump TWN024C100A3. Now it is in the cooling mode. The compressor is running, but the condensing fan is not running. I know this is not normal. What would happen if I left it run for the whole day?

If it is a newer heatpump it will have a high pressure switch and shut off. If you turn the power off to the unit can you spin the fan blade by hand? Or does it work on the heat cycle?