OK, maybe this is too esoteric. Let me ground it. I have often heard
professional pilots say that a side slip is used to counteract the
force of the wind. This comment implies a model in which the wind
applies a force to an aircraft in flight and that the horizontal
component of lift of the tilted wing (in a slip) allows the aircraft to
fly straight.

While this model works, it is flawed (as all model are). But is there a
better model to be had? The problem with this model is that it is not
compatible with other models. For instance, F=ma. If the wind applies a
force to an aircraft in flight, where is the acceleration?

The obejct here is to deconstuct some of our more cherished models to
see if there is room for improvement. And remember, there are very few
universal models. Most have subtleties based on who taught you, what
books you've read, your own experience...