The phrase "face higher risk" is correct and usable in written English.
You can use it in any context where you need to indicate some type of potential threat or danger. For example, "The developing countries face higher risk of being affected by climate change."
Motorcyclists Face Higher Risk for Injury or Death in a Collision: Play it Safe This Spring!
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To that end, people with a family history of amenorrhea and eating disorders face higher risk of later experiencing amenorrhea.
"When you deliver cash by road, by car, you face higher risk but on the river you have a lot more mobility and it's more complicated to attack".
Women also face higher risk of defaulting on student loans, which could tip young families from a short-term setback into lifetime of crisis.
Due to urban related factors (e.g. higher air pollution), urban residents may face higher risk of adverse health outcomes, while access to green space could benefit health.
If the trend continues, many more Americans could end up with high blood pressure and face higher risks of heart attack and stroke.
Although blacks and Hispanics face higher risks of poverty in most every state, there is also much state-level variability in the extent of this disadvantage.
Older diabetics face higher risks of such complications as heart attacks, kidney disease and blindness; they're more likely than other seniors to wind up in nursing homes.
"As a result, residents will face higher risks for a longer period, the Army may incur millions of additional dollars to maintain the program beyond its projected completion date; and the Army may not meet the Chemical Weapons Convention destruction deadline".
