The phrase "unacceptable risk" means that a certain situation or action poses dangers or negative consequences that are considered too high or not suitable, and therefore, should be avoided or prevented. Full definition
The law can not state a presumption of any kind without incurring unacceptable risk of damage to children. (thelizlibrary.org)
Many short - term bond funds experienced negative returns in 2008 because they were willing to take on what we view as unacceptable risks in the quest for incremental yield or income. (mutualfundobserver.com)
We need a much faster deployment of nuclear power to avoid unacceptable risk. (bravenewclimate.com)