Green’s Dictionary of Slang

(US) angry, irritated.

1935		(con. 1920s) J.T. Farrell Judgement Day in Studs Lonigan (1936) 572: That’s why I feel so eggy. They probably saved this afternoon to give us the works.
1999		Guardian Media 25 Oct. 4: I know dey’ll be eggy when they read this.
2001		OnLine Dict. of Playground Sl. 🌐 eggy adj. [...] 2) being irritated on a minor scale.