Some of the most challenging flying I've done is with an unsuspecting cross wind. At our field, we have a line of trees well behind the flight line, maybe 150 or so feet behind. But there is a cross runway that opens up the tree line that is right smack in the flight path when taking off from right to left, or when landing left to right. When the wind is at our backs, it comes across this cross runway. And, when it is blowing at a pretty good rate, we usually catch it in one form or another..either landing or taking off.

We often cannot feel it at our backs because the tree line protects the flight line, but at this opening where the cross runway is, and of course, at altitude when the plane is above the tree line, we catch it.

As I said, this presents a pretty good challenge for us. I learned in that stuff flying my old Nexstar and it made for some interesting take-off's and landings.

Call your instructor. I don't think he will mind it that much...