Ms Suu Kyi's selection can be heard on BBC Radio 4 at 11.15 GMT on Sunday.
The trial will break for the weekend and resume Monday with Suu Kyi's defense, Win said.
CNN: Myanmar: Suu Kyi pleads not guilty at trial, party says
If convicted, Suu Kyi, 63, could be sentenced to three to five years in prison.
CNN: Myanmar: Suu Kyi pleads not guilty at trial, party says
"The people of India have an emotional bond with me, " Ms Suu Kyi said.
Suu Kyi said she doesn't know Yettaw, didn't know of his plans and denies any wrongdoing.
If convicted, Suu Kyi, her housekeepers, and Yettaw have 60 days in which to appeal.
Ms Suu Kyi was married to a British man, Michael Aris, who died in 1999.
But Ms Aung San Suu Kyi said the NLD had agreed to the oath.
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Suu Kyi married a British man, who died in 1999, and they have two sons.
However, the stand-off was also part of a new approach from Miss Suu Kyi.
Analysts speculated that Ms Suu Kyi could be an MP before the end of the year.
But it is hard for Western governments to lift them without Ms Suu Kyi's backing.
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Ms Suu Kyi's selection on Desert Island Discs can be heard on BBC iPlayer.
Mrs Clinton has often referred to Aung Sang Suu Kyi as a personal inspiration.
BBC: Clinton pledges improved Burma ties if reforms continue
But while Suu Kyi has endorsed the visit, there are many who worry it is premature.
Young did not reveal Ms Suu Kyi's musical choices, although they include a "first" for the show.
Aung San Suu Kyi's National League for Democracy party said it would participate in Myanmar's forthcoming by-elections.
"The destruction is unbelievable, " Dr. Kyi Minn of the Christian relief organization World Vision said from Yangon.
Miss Suu Kyi's strategy, articulated in a brief period of relative freedom in the late 1990s, has failed.
Ms. Suu Kyi didn't speak to reporters at the parade in Naypyitaw and couldn't be reached to comment.
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Absent from the honors boards were the names of Nyunt Hlaing, Hla Kyi, Tin Chaw and Kyaw Min.
Suu Kyi urged participants at the World Economic Forum in Bangkok in July to invest in Myanmar's development.
Aung San Suu Kyi has given a cautious welcome to the moves, but says more progress is needed.
Suu Kyi said she doesn't know Yettaw, didn't know of his plans and denies she had any wrongdoing.
Other questions focused on lorry road user charging, the EU-Russia pact, and the release of Aung San Suu Kyi.
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Of course, it is not something that Hla Kyi, 55, is ever likely to get a chance to read.
In what country did activist and Nobel Peace Prize winner Aung San Suu Kyi win a seat in parliament?
Suu Kyi said she was moved by the warmth and kindness with which she had been welcomed to Britain.
Now Suu Kyi says there is a growing desire within Myanmar to reconnect with the rest of the world.
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