While the dev may not officially support it I can verify for those interested that there is a Linux version that gets downloaded with the demo to the Windows version and it runs fine for me so far.
You don't need to use Wine. In the folder is a file called "GoodGirlGoneBad.sh", that is the native Linux version. Make sure it is set to be executable and double click it. To make sure it has permission to execute right click, choose Properties, Permissions, and make sure "allow executing file as a program" is checked.