Hi Ken,
It depends... if you intend to run only the GP Full client on Windows 10 Home Edition, this might eventually work (thought not a supported edition by Microsoft for GP).
Where you might run into issues is if you want to use it in conjunction with the GP Web Client and Windows Authentication.. As the Windows 10 Home Edition cannot be joined to a Domain, you are going to run into problem with the user authentication. Though probably not impossible, but it's going to create a lot of trouble probably.
Personally I would stay away from a Home Edition.