I use gold fill (primarily from RioGrande) and love it. I make wire jewelry with it. Most of what I make goes either to my wife or a family member, and some I sell. It always looks great with no tarnish.
Having said that, let me make an observation. I have a friend who raves about his copper bracelet that he wears all the time to relieve pain in his joints. I tried to wear one and my arm immediately turned green and my joints hurt more. My wife wears a copper bracelet on her ankle and thinks it reduces some foot pain and it doesn't turn green. My point is, the same metal reacts differently on different people. It sounded like you made an item out of double clad 14/20 gold fill sheet. While the two main surfaces are well covered with gold, the cut edge exposes the underlying base metal which is likely mostly copper. So if you are (like me) one of those who reacts quickly to copper, that may be enough to get this result.
Maybe it would help if you coated the edge of the sheet with clear nail polish occasionally.