It depends on your Tridion Version

The recommended Windows version for Tridion 2011 SP1 is 2008 R2 SP1, However Tridion still supports from Windows 2003 to Windows 2008 R2. Tridion 2011 doesn't support Java 7.

The recommended Windows version for Tridion 2013 is Windows 2012, However Tridion still supports Windows 2008 R2 SP1. Tridion 2013 does support Java 7.

Window 7 Enterprise is not supported, it might work, but I would strong recommend to use a supported version, maybe running a virtual machine would be a good option.