From what I understand, the Win32 version of GHC targets MinGW. Does this mean that the GnuTLS libraries must be compiled for MinGW as well, or is it possible to link in cygwin

Hello, I'm trying to port a linux-based Haskell application over to Win32. I am fiddling with both MinGW and Cygwin with varying degrees of bafflement. This is a server app that utilizes secure connections with the GnuTLS libraries. libraries via the cygwin.dll somehow? Also, any ideas how difficult a Cygwin port of GHC would be? Tips would be much appreciated. Thanks, Rich