Green’s Dictionary of Slang

shite! excl.

also good shite! my shite!
[shite n. (1)]

a general excl. of annoyance.

[Ire]Joyce Ulysses 541: (Strangled with rage.) Shite!
[Aus]N. Keesing Lily on the Dustbin 24: She would never have said ‘Shit!’. She might have said ‘shite’ however which was considered allowable, or ‘sugar’ which was a widespread substitute.
[Ire]R. Doyle Snapper 69: Oh good shite! said Jimmy Sr.
[Ire]R. Doyle Van (1998) 423: He [...] dropped the bottle. – Shite!
[Ire]J. O’Connor Salesman 367: ‘I don’t know. Because you loved him?’ He wiped away the tears and scoffed. ‘My shite, I did. No. I couldn’t stand him.’.
[UK]Guardian G2 9 July 22: Oh shite! What an idiot!
[UK]K. Waterhouse Soho 128: He had to check in at the Groucho Club to report to his boss that he had nothing to report. Shite and double shite.
[Scot]L. McIlvanney All the Colours 123: ‘Shite,’ said Rose.

In exclamations

shite and onions!

an excl. of fury or resignation.

[Ire]Joyce Ulysses 121: O! Mr Dedalus cried, giving vent to a hopeless groan, shite and onions!