This seems like actually a family run small bed and breakfast in Agio Georgios, which is not the downtown centre of Naxos town but next to the beach. Was fine for 1 night. Host was very friendly, however check in was complicated as our ferry was late and host was absent from reception area for about 20mins with no way of contacting him. We did find some previous guests hair on one bedside table.
Of note, as description says there is no shampoo and body soap is same as hand soap in washroom.