Rest assured the plane will be fine and perfectly safe. It may be a little bumpy on a takeoff or a descent, but I actually flew a small single engine Cessna 172 across florida when the winds were gusting to 25-26 knots last Saturday, and we were safe.
Wind, though strong sometimes, doesn't make the plane any less safe. Remember, these planes fly at over 400 mph through the air. They can handle some wind!