Countering widespread rumors that Canadian Ambassador Allan Gotlieb would soon return to Canada in a low-profile position, Canadian Prime Minister Brian Mulroney said yesterday at a press photo session in Ottawa: "That's false. Ambassador Gotlieb is staying in Washington."

Embassy spokesman John Fieldhouse said Gotlieb wants to stay in town for as long as Mulroney wants him to. Responding testily to reports suggesting that Gotlieb had lost his effectiveness as ambassador to the United States, Fieldhouse said, "There's not a door in this town that was open to Ambassador Gotlieb two months ago that is not open to him today."

Fund for Slashed Model

Milton Petrie, multimillionaire owner of the Petrie Stores clothing chain, has established a lifelong $20,000-a-year trust fund for Marla Hanson, the fashion model whose face was slashed with a razor last week in New York. Petrie said he decided to help Hanson after reading about the attack on her by two men allegedly hired by the model's landlord over a rent dispute.

"I was very moved by her plight," said Petrie, 83, and sent over his secretary with the check Thursday. The philanthropist said he would visit Hanson himself when she feels better. Since his fourth marriage to a former countess, Petrie has become a fixture on the New York social circuit, and is a major contributor to several political campaigns, including those of New York Mayor Ed Koch and Israeli Prime Minister Shimon Peres.

Of his contributions he said, "I'm just trying to do the right thing. How can you not give?"

Who's Who?

The Washington Times seems to have difficulty remembering people's titles and positions. Its own former editor in chief, Smith Hempstone, curtly reminded The Times' editors in a letter published yesterday that Newbold Noyes was editor of The Washington Star, not the publisher, as reporter Charles Wheeler had stated.

Beneath the letter, Hempstone was identified by the editor as a former associate editor of The Washington Star, but no mention was made that Hempstone preceded Arnaud de Borchgrave as editor in chief of The Times. Hempstone was ousted from that position last year in a controversial changing of the guard.

Tea With the Prime Minister Thirty American tourists went calling at British Prime Minister Margaret Thatcher's Thursday. The tourists were selected from a group of 5,791 winners of a free flight to London offered in U.S. newspaper advertisements by British Airways. The airline is suffering from Americans' fear of terrorism abroad.

The visit with Thatcher at 10 Downing Street was part of a publicity drive to encourage American tourists to visit England. According to one guest, Mary Gillespie of Lexington, Mass., the prime minister served "cucumber sandwiches with the crusts off, tea in china cups and little cakes. Mrs. Thatcher made us feel right at home."

At the opening of a tourism center in London yesterday, Thatcher said tourism to Britain was again increasing after the recent slump. At the opening of the British Travel Center she told tourists, "We will look after you."

End Notes Queen Elizabeth II yesterday awarded an honorary knighthood to oil tycoon John Paul Getty II, who has donated millions of dollars to British institutions and charities. The award was announced exactly one year after Britain's National Gallery of Art disclosed that Getty had pledged $75 million to the museum . . .

Brinton Clark, one of the two 16-year-old survivors rescued from a snow cave on Mount Hood in Oregon last month, is scheduled to be released from Emanuel Hospital in Portland this weekend, a hospital spokesman said. Giles Thompson, the other survivor, was in serious but stable condition yesterday following skin graft surgery. Thompson's legs were amputated during the week following his rescue . . .

Former stunt woman Heidi von Beltz was awarded $4.5 million yesterday by a Los Angeles Superior Court jury. Von Beltz was injured in 1980 during the filming of "Cannonball Run" when a stunt car collided with a van, leaving von Beltz a quadriplegic . . .

Most people would probably concede that Detroit is probably not the most desirable vacation spot, but to further distract tourists, that city is in the throes of a cockroach crisis. The nasty little vermin have invaded Roseville, Mich., a Detroit suburb, climbing out of the sewers about 12 days ago, and invading homes and property. Said resident Sandra Ford, "I had my house for sale and the real estate agent canceled a showing for Sunday. I can't even give my home away because of Roachville, Michigan."