Upon entering the forest, Link notices the girl hangin precariously from a tree branch. Procede through the grass and up the ledges. You end up in a somewhat larger clearing. Look at one of the logs nearby. It is hollow, with a Red Rupee (value: 20 Rupees) on the inside; crouch and crawl to get to it.
Also nearby is a Bokoblin. You’ll have to fight it. It is among the weaker enemies of the game - in fact, a combo or two will finish it off. Climb up the ledges behind its original position to reach a path near a massive rock. Ignore the rock and continue along the path. You’ll soon get a large clearing.
After defeating the enemies, the girl in the tree awakens. She struggles a bit, then breaks the branch, causing her to fall. Link comes over to her. Luckily, she seems to be unharmed. She asks about your get-up, as she calls it, then remembers how she got her.
A pirate flunky, as the ship shooting at the bird was indeed a pirate ship, comes over to her, referring to her as Miss Tetra. From the tones exhibited, you can easily figure out that Tetra is a pirate, and the flunky’s superior (in fact, their boss!). When the flunky tells her that the bird dropped her on a summit, she vows revenge and leaves. You should follow suit.