Well, I hate to admit it but not a lot. A lot of standard, budget construction fence panels are 'closed boarded', meaning there is no way for the wind pass through and so act as a wind break.
Most of the European panels such as the Omega Lattice Top and the Square Top Horizontal are alternately boarded on both sides to allow the wind to pass through. If your fence is a rail and pail construction, again with gaps between the boards, wind will most likely pass through causing little or no damage.
If your fence is fairly new it has a better chance of surviving the harsh weather. Rotting posts and panels, skew-whiff posts, exposed concrete at the base of the post are all signs it could be ready to go.
All in all it's a suck it and see situation. Fingers crossed! :-) If it does fall over, please contact us as we should be able to help.