The phrase "imminent peril" means that something dangerous or harmful is about to happen very soon. It describes a situation where there is an immediate and serious threat to someone's safety or well-being. Full definition
It is, again, not only his size that attracts the fair sex but his special aura of imminent peril. (si.com)
Unless your children are in imminent peril, the court will probably hear your motion in two to four weeks, but this can vary depending on your state and even your county. (info.legalzoom.com)
After all, if the world is not under imminent peril from climate change, who will listen to — and fund — the prophets of doom? (breitbart.com)