From the author's README on Thunderstore

Woody from Disney's Extreme Skate Adventure, playable as a costume in skate. with ReSkate. Uses skate.'s character animations.

Installation

Close skate. and ReSkate Launcher.
Remove any older copy of this costume from the game's Mods folder.
Extract this ZIP's contents into Mods/Woody_Costume beside Skate.exe.
Enable Woody_Costume in ReSkate's Mod Manager.
Select Woody in My Stuff → Apparel → Costumes.

To uninstall, close the game and launcher, then remove Mods/Woody_Costume.

Port by Normo. Original character and assets from Disney's Extreme Skate Adventure.

Install Woody Costume

You need ReSkate and your own copy of skate. on Steam.

Open ReSkateLauncher.exe and go to MODS.
Search for Woody Costume and click install. The launcher also installs anything it depends on.
Press PLAY. In game, the MODS tab of the ReSkate menu (Insert) turns it on and off.

Or install it by hand: download the .zip and drop it on the launcher window, or unzip it into its own folder in Mods\ beside Skate.exe.

Maps show up in the ReSkate menu's level list. To join a server running a custom map, you need the same map installed. If the game won't load after installing, see known issues.

skatemods doesn't host or review this mod. The download comes straight from Thunderstore. Only install mods you trust, because scripts can run code.