Broken World — Frank J. Barbiere

With a meteor days away from causing an extinction-level event on Earth, time is running out for Elena Marlowe. While most of the planet's population and her family were approved by the government to escape on one of the giant spaceships headed to another planet, her application was denied due to her mysterious past. With time running out, Elena tries desperately to find a way to fake her way onto the last ship or else be left behind to die with the rest of Earth's rejected denizens.