In short, it was the loveliest stay, the place is beautiful and authentic, and the host, Ms. Popi, was very helpful.
The place seems to be recently renovated and is very clean. It is divided into zones making it very comfortable for two travellers. There are a small bedroom with a wardrobe, living room with a dining zone and a kitchenette, and a bathroom. We didn’t use the kitchenette a lot, as we preferred to eat out, but it is definitely suitable to make breakfast/cook a simple meal.
Also, there is a nice private patio with a view over Chora, the port down the hill and the famous landmark of Anafi, Kalamos monolith—one cannot find a better spot to watch the sun rise.
It is close to all the taverns and bars of Chora, and is 5 minutes’ walk from the bus station (with luggage). One can get to the Monastery / beaches / the port by bus or take a taxi. Trekking-lovers have an option of walking to the beaches.