Having a rental car gives you the freedom to explore the island at your own pace and on your own schedule. 
While there are some areas in Crete that are well-served by public transportation, many of the island’s most beautiful and remote locations are only accessible by car.
You can reach Anna Studio in about 20-30 minutes from Kazantzakis airport depending on traffic.

There is a direct bus (The line 6) from Heraklion Airport to Ammoudara, departing every 20 minutes, and operating every day.
The journey takes approximately 40 min and tickets cost 1-2 euros.

You can take a taxi from the airport, which will take approximately 20-30 minutes depending on traffic. The cost will be around 20-30 euros.