La Voix is the alter ego of Chris Dennis, who said ahead of the series that he wanted viewers to get to know the man behind the drag act.
The character became a fan favourite last year while finishing as a finalist on RuPaul’s Drag Race UK.
Exact details of the injury were not revealed.
“My spirit wanted to keep dancing but my foot has other ideas,” La Voix said in her Instagram post.
She added: “Due to an injury, I’ve been advised that I’m unable to perform.”
In recent weeks, Strictly viewers have seen La Voix and Škorjanec jive, waltz and foxtrot around the Strictly dancefloor.
Last month, actor and Neighbours star Stefan Dennis withdrew from Strictly because of injury while in September, TV personality Dani Dyer pulled out before the show got under way after breaking her ankle. She was replaced by actress Amber Davies.
