Steady winds are easy to compensate with steering. Gusts require you slow down if you cannot compensate quick enough to avoid swerving. Plan on taking longer than normal to do the same trip and you will be fine.
If you get into severe wind and must stop, try to face the wind. Parking with your back to the wind can damage vents and other openings that are not designed to pushed from the rear. Parking broadside to the wind will be the worse choice since the large surface area can work as a sail.
We towed a tall toy hauler through some storms in the plains where tornadoes were within 100 miles of us. Once I was on the trailing edge of the storm, we parked nose into wind and I only lowered the forward jack in case we had to move out quickly. It was a rocky night, but all were safe and no damage was done.