Beware though, Egwene is perfectly aware that most of her Dreams show possibilities, not certainties. They aren't set in stone like Viewings and Foretellings.

For example, Perrin seemingly has averted that Dream of Bran al'Vere tortured by Whitecloaks, unless it was meant to symbolize how they pestered him about his books.

I do tend to think Egwene will bond Gawyn, but I'm not 100% sure this won't be a relationship Jordan meant to fail in the end. He wouldn't have any otherwise (unless Berelain falls in love with Galad who doesn't return the feeling, possibly...)