I have Xamarin installed on the Visual Studio 2013 on Windows Operating System. It works fine.
There is Xamarin tools in VS2013 as follows:
My problem
I had some problems with my emulator best way to fix the problems is to uninstall everything (emulators, android sdk, vs, xamarin) and reinstall it.
It is also important to delete other or older versions of visual studio. Then you should probably see you options.