Referring to the villain in the Harry Potter franchise, he said: "I now call Simon Lord Voldemort because he must not be named because every time I name him the press say that we're enemies and we're fighting each other.
"That's not true at all. Simon has no enemies whatsoever in the world. He just has a lot of friends who hate him."
Nigel also praised Gaga, describing her as "the most creatively talented woman in the world of show business right now".
Other winners at the ceremony - which honours the best in television programming outside the US and featured 40 nominees from 20 countries - included UK drama Accused, which scooped Best Performance by an Actor for Christopher Eccleston and Best Drama Series, a category it initially wasn't shortlisted for.
The programme - which was written and created by Jimmy McGovern - replaced Sherlock in the category as the latter had previously been nominated for a Primetime Emmy Award, and a show cannot feature in both competitions in the same year.
Other British successes included Dame Julie Walters, who won Best Performance by an Actress for her portrayal of late politician Mo Mowlam in Mo, while Gareth Malone Goes to Glyndebourne received the Arts Programming honour and World's Strictest Parents was top Non-Scripted Entertainment.
Zee TV founder Shubhash Chandra was recognised for his work with the International Emmy Directorate Award.
Jason Priestley hosted the awards, which took place at the Hilton New York Hotel, for the second year running.
International Emmy Awards 2011 list of winners:
Arts Programming: Gareth Malone Goes to Glyndebourne
Best Performance by an Actor: Christopher Eccleston as Willy Houlihan, Accused
Best Performance by an Actress: Julie Walters as Mo Mowlam, Mo
Children & Young People: Con Que Suenas? (What is your Dream?)
Comedy: Benidorm Bastards
Documentary: Life with Murder
Drama Series: Accused
Non-Scripted Entertainment: The World's Strictest Parents
Telenovela: Lacos de Sangue (Blood Ties)
TV Movie/Mini-Series: Millennium
International Emmy Founders Award: Nigel Lythgoe
International Emmy Directorate Award: Shubhash Chandra
- BANG! Showbiz