Green’s Dictionary of Slang

angry, upset about, hurt.

1864		Herald (Glasgow) 28 Dec. n.p.: Not a word was said. I felt confoundedly cut [...] [F&H].
1908		L. Doyle Ballygullion 74: But for all that Michael took it quiet, he was badly cut.
1961		H. Livings Stop it, Whoever You Are (1962) Act I: I don’t think I’ve ever been so cut.
1993		Age (Melbourne) Good Weekend 6 Nov. 41/2: ‘I got really cut with her [i.e. a teacher] and I just went “Suck my dick, bitch!”’.
1999		K. Sampson Powder 100: Wheezer wasn’t hurting over the clumsy reminder that his parents were gone. He was cut that the group didn’t see him as their own father-figure.
2001		OnLine Dict. of Playground Sl. 🌐 cut (to get... ) n. To get cut is to get extremely annoyed., Often shouted at people who are getting annoyed is ‘Come on, don’t get cut now!’ to make them more ‘cut’ [...] possibly from the expression ‘Mad as a cut snake’, but more prob. from knife fights.