Your bike's a lot more stable at speed, and she weighs a lot more than you do. The instinct is to stiffen up and "straight-arm" the bike under stress but that makes things worse. Fight the instinct and stay loose, be aware that there's cross winds, and you'll soon find yourself making the needed corrections automatically.
And unless you see a swirling, funnel-shaped mass of dirty air bearing down on you the wind aint gonna pick the bike up off her wheels.
