Green’s Dictionary of Slang

stench-trench n.

1. the anus.

UrbanDictionary.com 🌐 Stench Trench. someones unwashed arsehole. [...] a vagina in need of a wash.

2. the vagina.

[UK]Roger’s Profanisaurus in Viz 87 Dec. n.p.: stench trench disaffectionate euph. Fanny.
see sense 1.