'daunting odds' is correct and usable in written English.
You can use it to refer to a difficult situation that will be hard to overcome or achieve success in. Example: Despite the daunting odds, Sarah was determined to succeed in her task.
She has also managed to be a loving and connected mother despite daunting odds.
The new agency, Brown Kelly O'Neill & Partners, based in New York, faces daunting odds.
In his remarks Thursday, Mr. Obama acknowledged that he faced daunting odds.
Starting tonight, they will try to overtake Atlanta in the wild-card race, against typically daunting odds.
Indeed, the legislation still faces an uncertain future in the Senate and daunting odds in the Republican-led House.
The unifying thread is the triumph of spirit over hardship, the will to succeed against daunting odds.
What makes this historic revival so heartwarming, however, is that it is driven by genuine civic pride in the face of daunting odds.
Even economists who firmly support cap and trade are not sure whether the California program should be considered the vanguard of a distant revolution or a rebel stronghold facing daunting odds.
In the face of daunting odds — odds that led nine Broadway shows to close on Sunday — stands "Lombardi," the play about the legendary Green Bay Packers coach that is the only brand-new drama to survive the fall season.
This week, Senator Harry Reid of Nevada, the Democratic majority leader, abruptly announced that the Senate would take up an immigration bill to address both enhanced border security and citizenship, even in the face of daunting odds.
According to this biography, the screen icon may have been used and abused, but she was an intuitive strategist who was fueled by a furious desire to succeed despite daunting odds.
