Hudson, who left her role at Eve in October last year to take on a magazine development role at BBC Worldwide, will take up her position at the end of the month. She will step into the role almost exactly two months after the departure of Horne, who spent only ten months in the post.
Horne, a former editor of The Daily Telegraph's magazine, had pursued an editorial policy that was calculated to stress the independence of the Radio Times from the BBC.
Horne's policy had included the magazine's front covers being devoted to rival stations' programmes, as well as a heavily publicised column in which Sue Summers described a selection of BBC news presenters as "three of the strangest-looking males on the planet".
Hudson was awarded the BSME Editor of the year for men's magazines award in 1997, for her work launching Maxim at Dennis Publishing. While at Dennis she also worked on the launches of Stuff and Ministry. She signed up for the job of launching Eve in 1999.
"Expect a Radio Times that will be as authoritative and comprehensive as ever but with a few new things that will take many in the industry by surprise, Hudson said.
The Radio Times reported a circulation of 1,200,615 in the July to December ABC results, comfortably maintaining its position as the UK's second-largest listings title. The leader in the sector is the IPC title What's On TV.