Wind turbine charger controller
We can't answer your question (except in general) without knowing the specifics of your system.  

In general with these kinds of systems the battery can supply the load both while charging and when there's no wind (which is the point of the battery).  

If the charging current exceeds the load current then the battery will continue to charge until full.  If not, then the battery will discharge at a rate equal to the load current minus the charging current.

Details depend on the load, the kind of battery, the specific charge controller, the battery capacity, the generator type and the system implementation.