Green’s Dictionary of Slang

annoyed, furious, upset.

1913		A. Lunn Harrovians 10: You swing your arms just like my sister when she gets hairy.
1960		N. Hilliard Maori Girl 258: All right, don’t get hairy, don’t get hairy [...] Don’t go the rough stuff.
1971		K. Gilbert Cherry Pickers III i: We’re all of us gittin’ too ‘hairy’ with each other because things don’t look good.
1977		E. Torres Q&A 20: Don’t ever make fun of his name, either. He gets very hairy about that.
2001		D. Looser Boobslang [U. Canterbury D.Phil. thesis] 83/1: hairy fairy n. an angry prison officer.