Your kayak is fine. What happened is called weathercocking and in general it is considered better for the bow of the kayak to turn into the wind vs turn down with the wind.
Here is a good description :
weather cocking is the tendency for yak to turn into the wind. Lee helm is turning with the wind and this condition is considered dangerous since nobody wants to have to fight the yak to stay on line in to the wind or if it's extreme, not be able to turn the yak into the wind. Weather helm can be altered by the trim of the yak: load your gear forward in a more or less neutral yak and the keel at the bow will dig in more (more lateral resistance) and you get more weather helm. Trim the load aft you get lee helm
. A skeg or rudder can contribute to lee helm by adding lateral resistance aft. An adjustable skeg is a nice item since you can use it to counter the natural weather helm of a yak by lowering it just enough of the skeg to make the yak track neutral in a cross wind.
also this link has some pics explaining the dynamics : http://superiorpaddling.com/kayak-weathercocking/