To be able to quest in Wildwoods you'll need to meet the following prerequisites.
- Reach level 12
- Complete the quest in Firgrove with Mrs. Packard
- Complete the intro quest to Mistfall. (here's how to get to Mistfall)
- Complete the quest in Mistfall where Sigry becomes the councilwoman.
Once you've met these prerequisites, you'll need to speak with Alonso at the Ranger Station to start the quest-chain leading to wildwoods!