As the minimap tells, request: 10.000 wood.
This is a nice job, you really have to act strategically a bit. You must be busy pushing back the wood next to your settlement - some new trees will ake through only one row of woodcutter huts. You need space for some apple orchards, further parts of the stockpile, hop farms, breweries and inns (you can build the stockpile around them.) There's also the possibility to just buy beer but this felt quite too simple.
So in this mission it took me some time before I could reach fear factor -5, spam the forest with woodcutter huts, and at last raise game speed to .90