I am not sure about this one either.
However, it might be reasoned that waves from the South West would have been excited and sustained by a steady wind from the South West as well . This wind has components parallel to North and East.
There cannot be Northerly component of current (it would be stopped by the shoreline). However there might be an Easterly component of the current being added by the wind. Thus the longshore current would be to the East.