What she's doing may in fact be an open gold Int'l variation, but I can't quite tell what it is the way it's described. At any rate, to answer your question in more general terms, there is no such thing as a "Gold Twinkle" per se. As others have mentioned, there are foot closing and foot passing actions, typically being deemed bronze and silver level, respectively. This is not limited to Twinkles; It applies to almost all actions in the American style smooth syllabus, such as basic Naturals, Reverses, Changes, etc.
Many people have their own interpretations or variations of figures. When such an interpretation is minor, such as a slight variation on sway or a turn of the head, it's considered artistic license. But when it's too great a departure from the basic figure, it would be considered a separate figure, and therefore "out of syllabus". In the pro-am competition world, non-syllabus events are labeled Open Gold, and so a teacher might label any such variation "Gold". I suspect this is the case here.
Regards,
Jonathan