Refer to figure.
The figure depicts a COLD OCCLUSION – the cold air behind the cold front undercuts the less cold air ahead of the warm front, warm front becomes a front aloft. In simple words, the cold front transits into the occlusion (and not the warm front).

As we can see in the attached figure:

A – Cold front
B – Warm sector
C – Warm front
D – Cold occlusion
F – zone ahead of warm front (cool air)
E – Zone behind cold front (cold air)

In the warm sector surface wind is steady and usually from the South-West.

The wind tends to flow parallel to the isobars (in this case approx. 260°/265°). However, friction backs the wind 30° over land and 10° over sea; say that over land the surface wind would be around 230° => roughly south westerly direction.