The academic debate between near wind and far wind is trumped
by the unique realities of wind pattern to each specific range. The
best policy for shooting in the wind is flexibility and critical
assessment of the features unique to each range.
Wind does not blow on the side of the bullet to cause deflection.
Instead, the bullet weather vanes into the oncoming airflow. A
crosswind will make the bullet fly at a small angle to the line of
sight. The aerodynamic drag applied to the bullet acts directly
back along the bullet axis, which effectively pulls it away from the
line of sight.
Wind gradient is when the wind velocity increases with increased
height above the ground. It can be difficult to judge the wind
speed high above the ground when shooting over valleys where
there are no indicators, but you can usually count on higher
velocity winds in such cases.
Cross wind weighting factors can be used to calculate the effects
of multiple winds. The most wind sensitive portion of a bullet’s
trajectory is not always the first segment. If the bullet will go
transonic during its flight, that will dictate where the bullet is most
sensitive.
Aerodynamic jump is a mechanism by which a bullet can have a
vertical deflection when fired into a purely horizontal crosswind
speed. This deflection is a constant angular deflection, roughly
equal to .03 to .04 moa per mph of crosswind speed, and it
depends on the gyroscopic stability of the bullet at the muzzle.
The deflection is down for a left – right crosswind, and up for a
right to left crosswind. These directions are reversed for a left
twist barrel.

Point forward flight means that the nose of the bullet is always
pointed straight into the oncoming air flow like a weather vane.
Now the axis of the bullet is no longer aligned with the line of
sight. Arrows are stabilized with fetching, and bullets are
stabilized with spin, the both point their nose into the oncoming air
flow when they are stable in flight.
For a given range and atmospheric condition, lag time and wind
deflection depend on muzzle velocity and BC.

In general, a headwind will cause a bullet to slowdown faster and
strike the target lower and vice versa for a tail wind.