Green’s Dictionary of Slang

(US) annoyed, furious, upset.

1914		G.A. England ‘Rural Locutions of Maine and Northern New Hampshire’ in DN IV:ii 73: haired, or haired (up), adj. Angry, vexed.
1967–8		Baker et al. CUSS 133: Haired off Constantly complaining and irritable.
1989		R. Miller Profane Men 174: Getting the ’yards and the green beanies all haired off.
2004		Christopher Moore at www.chrismoore.com 🌐 And don’t get all haired up if you just happen to be the president of the biggest leather-wearing, father stabbin’, mother rapin’ quilting circle in west Wapakoneta County.