In this excerpt from her new memoir, the former US presidential candidate admits wondering how she’d feel if another woman ‘broke the highest, hardest glass ceiling’

On 21 July, when Joe Biden announced he was dropping out of the presidential race and endorsing Kamala Harris, the dream of seeing a woman in the Oval Office was suddenly back within reach. It wouldn’t be me; but it could be Kamala. History beckoned. But a whole lot of bigotry, fear and disinformation, not to mention the electoral college, stood in the way. Could we do it? Could we finally shatter that highest, hardest glass ceiling and prove that in America there is no limit to what is possible?

When Bill and I heard the news that Biden was withdrawing and endorsing Kamala, we drafted a joint statement saluting him and endorsing her. She is talented, experienced and ready to be president, so it was an easy decision.

This is an edited extract from the epilogue to the audiobook Something Lost, Something Gained: Reflections on Life, Love, and Liberty by Hillary Rodham Clinton, published by Simon & Schuster. To support the Guardian and Observer, order your copy at guardianbookshop.com. Delivery charges may apply.