Photographing in Blustery Wind
The problems are obvious - trying to focus correctly on your chosen subject. Then you need to keep your subject still enough so it is not blurred. Just having a fast shutter speed won’t guarantee a sharp image.
Tip - follow the movement while looking through your camera and watch for the still point when the wind drops. Focus then. Then wait until the subject returns to that point. Take your photo.
Focus
Don’t forget to think carefully about what you focus on. This is very important to having the photo look right.
Showing the Effect of Wind
You could use the wind to show what the conditions were like and create a mood. Seas look much better when the wind is driving crashing waves into rocks.
Birds can have ruffled feathers when the wind gets behind them.
People can have hair blowing in the wind and brides can have the veil blowing behind and looking glorious
Try a Movie Clip
Sometimes a short movie of your subject can be more meaningful by showing the movement rather than trying to stop it.
In Conclusion
Think about what you want your image to show - what feeling you want to put into it.
Use the elements rather than fight them.