[C Of K]

Absolutely nothing.

It is part of a prophetic/elaborate scheme to keep the shippers happy. As you may recall Egwene fell out of [spoiler]sensored/wordwillnotlovebeshownhere/sensored[/spoiler} with Rand. So he is not some irresistible God/man the rest of us should be jealous of. His three lovers all seemed to loose total control of their feelings around them, which may or may not have something to do with Rand being so strongly Ta'veren.

For some reason the pattern finds this beneficial. And Lanfear isn't necessarily in love with Rand so much as she is LTT's power. That, I think, is part of the pattern, too...and also stuck in there to get shippers to beg for more...