Trees are adapted to respond to forces acting upon them, such as wind. A large mature tree that has been exposed to wind forces throughout its lifetime should be well-adapted to deal with windy weather.
However, recently exposed trees, such as those in urban development areas, may not be well-adapted to wind forces. Look for indications in the surrounding soil such as cracking or heaving to determine if your tree is moving too much in the wind.
If you are concerned with the movement of your tree in the wind, consult an ISA certified arborist to perform a tree risk assessment.