However, Glasgow-born Louise McCarthy says the Hollywood star was the woman she most wanted to embody.
Louise, 29, is appearing this week in The Trouble With Double at the Oran Mor, Glasgow, and her character Sally Mallow, seems to have Doris's DNA.
"The play has a 1950s screwball comedy feel about it," says Louise of playwright Daniel Jackson's new work. "It is all so fast-paced, with the lines cutting across each other.
"And since I am not old enough to remember the 1950s films, I have been doing some research to get the feel for the play."
Louise has been watching lots of Doris Day movies, such as Pillow Talk, and also I Love Lucy, the classic American sitcom with Lucille Ball.
"It's amazing what you can see on YouTube," says Louise. "And the clips really opened up that world to me, when the likes of Doris played characters who were really stern with their men. At first."
The play tells the story of Sally Mallow, who is about to be married to Dex Sexington. All the preparations are in place, but who should turn up but Sally's evil twin sister, Meryl - who has designs on Dex.
Will jealous Meryl wreck the wedding day? Will Sally and Dex be able to finish the play with the customary long kiss on the bed, but with one foot on the floor as demanded by the censors of the day?
Louise says: "There is a real physicality to the play. In rehearsals, I realised the lines came out so fast there was no time to breathe. But it makes for great comedy and it all helps define the relationship, when they go up against each other."
"And in films like Pillow Talk, the women dressed perfectly. They wore heels all the time. And the hair and make-up was precise. So you have to look perfect."
It's a great challenge for Louise, who gets to play both roles.
"We have to make them look slightly different as well," she says, grinning. "And I don't want to give too much away but they do wear different underwear."
Louise dreamed of becoming an actress after she saw Doris Day in Calamity Jane and went on to appear as the cowgirl in a school play.
"I studied the video and her mannerisms until I felt I had got her perfectly," she says.
When she was 15, Louise landed a major role in BBC kids' drama, Stacey Stone.
"After that, I wanted to go to drama college and moved to London, after winning a place at drama college, Arts Ed.
"At 17 I was young, but probably too young, to think about the impact of what I was doing."
Louise had trained as a dramatic actress but she also sings and dances, and her first major role was in the hit musical Mamma Mia! in London's West End.
SHE says: "It was an amazing time. I was in the show for two years - what a fantastic start to a professional career.
"Then I went on to do Shakespeare and a gritty play. It is great to have a range, to be able to put yourself to any challenge."
Louise was tempted back to Scotland when the National Theatre Of Scotland offered her a key role in Men Should Weep, a play set in Glasgow during the Depression.
She is now living in the city's South Side, her partner is a drummer in a folk band, and life is good.
Louise has written her first musical cabaret show (running at the Tron next month ) and will be starring in panto at the same venue, in Peter Pan And Stinkerbell.
Meantime, she is in Doris Day land. Except she is not nice all the time, given she also plays the psychopath Meryl.
But how will she access the darker side of her character to produce this creature?
"I used to fight like mad with my sister Jacqueline, who is two years older," she says. "She would go out wearing my favourite top and I would really think I wanted to kill her.
"I'll bring up those times when I am Meryl."
l The Trouble With Double, Oran Mor, 1pm, until Saturday. £8-12.50, 08444 771000.0