Naxos is an island very well served by transport and therefore easily accessible whether from Athens.

First, it has its own airport with local flights. Very convenient if you do not have much time. You will also find the best deals on Olympic Air website.  At the port of Naxos, it is also very convenient. Crossings to Naxos exist from Piraeus (between 3h and 5h crossing depending on the type of boat), but also from Rafina.

The latter is very convenient, as it is located just 20 minutes from the airport by taxi and it is less imposing than Piraeus. You can book most of the ferry crossings on isferry.com addition, Naxos is an excellent starting point for nearby islands (Paros, Amorgos, Koufounissia, Mikonos, Syros ...).