Kabuye was detained by German police on November 9 on a French warrant that connected her to the downing of a plane in 1994 in which Juvenal Habyarimana, Rwanda's former president, was killed.
Habyarimana's death sparked a genocide which consequently engulfed the country.
Authorities in France began investigating the attack because the two pilots of the plane were French.
They suspect Kabuye of housing the Tutsi commando unit blamed for shooting down the plane.
Lef Forster, Kabuye's lawyer, has said that she denies involvement.
A French judge issued warrants for Kabuye and eight other associates of Paul Kagame, Rwanda's president, in 2006 in connection with the plane crash.
Rwandan fury
Kagame had also condemned the arrest of Kabuye, who was his chief of protocol.
Hutus killed more than 500,000 people, mostly minority Tutsis before fighters led by Kagame drove them from the country.
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Kagame, left, has condemned the arrest
of his chief of protocol [AFP]
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His government claims that France armed the Hutu militias and former government troops who led the genocide.
Thousands of Rwandans turned out to protest against the expected extradition in Kigali, the country's capital, on Wednesday.
Yvonne Ndege, Al Jazeera's correspondent in Kigali, said: "There has been a huge amount of public anger over the extradition... she is considered a heroic figure here.
"People have been protesting all over the country. They are demanding an immediate release of Rose Kabuye and a repatriation of her to her home in Rwanda.
"All evidence that we have seen is that most of these protests have been organised by community leaders and individuals who are simply outraged by her arrest.
"Bear in mind that she is credited with being part of the new government that put an end to the genocide here in 1994. Women have been chaining themselves to the gates of the German embassy here."