Putting to rest is a phrase that is often used to describe the process of calming or soothing a situation. Allaying and quieting are two words that can be used to describe this process. Allaying means to reduce or put an end to fear, doubt, or suspicion. Quieting means to make something or someone become silent or still. Together, these two words can be used to describe the process of putting to rest, which is calming or soothing a situation.