Washington, July 27 - Onetime rival of President Barack Obama, Hillary Clinton says she hoped there would a woman US president in her lifetime but doubts she herself would run for America's top job again.

It was a 'daunting' challenge for a woman to run for president, Clinton now secretary of state in Obama's cabinet told NBC's 'Meet the Press' programme Sunday.

'It will take the right woman who can make the case and win the votes and get elected. I am certainly hoping it will happen in my lifetime.'

Asked what's it going to take for a woman to be president in the context of an exchange with a Delhi University student during her trip to India she said: 'Well, it'll take the right woman who can make the case and win the votes and get elected. And I am certainly hoping that happens in my lifetime.'

When pressed whether she would run again, she said: 'Well, that's not anything I'm at all thinking about. I've got a very demanding and exciting job right now, and I'm not somebody who looks ahead. I don't know, but I doubt very much that anything like that will ever - ever be part of my life.