This is the 17501st most frequent Russian word.
торчащую
"Торчащую" means "sticking out" or "protruding" in English.
The word 'торчащую' is used as an adjective describing the branch that is 'sticking out' or 'protruding'.
Я видел торчащую ветку из окна.
I saw a sticking-out branch from the window.
Here, 'торчащую' describes the note that is 'sticking out' or 'visible' from the pocket.
Она убрала торчащую из кармана записку.
She removed the note sticking out of the pocket.
In this context, 'торчащую' qualifies the thread that is 'protruding' or 'visible' behind the collar.