Elisabeth Birks said she met Travis at a charity event at London’s Battersea Park.
Travis asked her if he could take photos of her after he saw that she had interesting tattoos.
Travis, 68, is on trial accused of indecently assaulting 10 women and sexually assaulting another while working as a BBC DJ, as a broadcaster with Classic Gold radio, while appearing on Top Of The Pops and when starring in pantomime.
He denies all the charges.
Ms Birks told Southwark Crown Court she was about to take to the stage with her husband when Travis tapped her on the shoulder and said he liked a tattoo on her back, which he had seen because she was wearing a backless dress.
She said: “He was very friendly, he seemed lovely.”
Ms Birks said Travis asked if she would model for him, which she was happy to do, and gave her his card so she could contact him.
She visited Travis’s home in 2010 with her husband, where the DJ introduced the couple to his wife.
After he gave them tea and cakes and showed her previous photos he had taken, her husband went to watch films and his wife remained downstairs while Travis and Ms Birks went off to take photos together, she told the court.
Ms Birks said they started with her wearing a vest top and hot pants so Travis could take photos of her tattoos, but they eventually took pictures of her while she was naked.
Ms Birks said Travis was a “very, very professional photographer, very polite” and would always ask her if he wanted to physically move her.
She said: “He just made me feel very comfortable.
“Dave was very professional about it.”
Asked if he ever did anything inappropriate, Ms Birks said: “No, not at all.
“I felt comfortable for the whole thing. Everything was fine.”
Travis, from Buckinghamshire, is charged with 13 counts of indecent assault dating back to between 1976 and 2003, and one count of sexual assault.
He is appearing in court under his birth name David Griffin.
The defendant listened to the proceedings in the dock with the aid of earphones.
Former Radio 1 producer Timothy Blackmore said he was not aware of any inappropriate conduct by Travis while they worked together at the BBC.
Mr Blackmore said he only heard “stories” of a complaint against the DJ after his company took over Classic Gold Radio, where Travis later worked, in the early 2000s.
The witness, who was part of the team which launched Radio 1 in the 1960s, said Travis was “gregarious, warm hearted, entertaining and professional”.