It's better to start your hike as early as possible. First buses with tourists arrive at about 7.30.
Here is a parking lot to leave your car before the hike. Taxi driver who will drive you back knows the road perfectly. Take food with you as well as something warm to wear, because it can be cold in the morning and in the shadows.
Buy a ticket to the ferry that leaves at 17:30 to Sougia. Rest at the beach while waiting. I bet you haven't seen sea water so clean as it is here.
Taxi +306977745160 / email@example.com (50 EUR back to your car). Book in advance as there are only two taxi drivers for the whole town. Literally.
Take your car and drive back to the hotel. You should be back before the dinner ends. Or find a restaurant along the way.