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Hillary Rodham Clinton mused aloud about the significance of America electing its first female president. Left unsaid: whether she might try again to be the one.

In a video of a private Clinton speech posted to YouTube on Friday, Clinton told a Canadian audience that she hoped the U.S. would elect a woman to the White House because it would send “exactly the right historical signal” to men, women and children. She said women in politics need to “dare to compete” and the nation needs to “take that leap of faith.”

“Let me say this, hypothetically speaking, I really do hope that we have a woman president in my lifetime,” Clinton said at a women’s conference in Toronto on Thursday night. “And whether it’s next time or the next time after that, it really depends on women stepping up and subjecting themselves to the political process, which is very difficult.”

The former secretary of state told the cheering audience that she would “certainly vote for the right woman to be president.”

Should she run for president in 2016, Clinton would emerge as the Democratic Party’s leading contender to succeed President Barack Obama, but she has not said whether she will seek the White House again. Clinton has said she is enjoying time off since departing the State Department in February but has taken a number of steps that could enhance a future presidential bid, speaking to a variety of groups around the country, working on a book and outlining her agenda at the foundation started by her husband, former President Bill Clinton.

In remarks during an interview at the “Unique Lives and Experiences” conference, Clinton mused about the possibility of a woman winning the White House and what it would mean for the nation — but she avoided identifying herself as the leading prospect. The event was not open to the media, but a person in attendance posted a clip of Clinton’s interview on YouTube on Friday.