"Great danger" refers to a situation where there is a high level of risk or potential harm present. It suggests that something is very unsafe or threatening and requires immediate attention or caution. Full definition
By allowing them become a habit, we are already in great danger of becoming indifferent to them, and to the fact that they are being enacted on our behalf. (slaw.ca)
With more cars on the road and more inexperienced drivers on the road you are constantly being placed in greater danger of being injured. (yourlegalbutler.com)
Cats are prone to alcohol poisoning and higher amounts of alcohol means greater danger for your cats. (scratchingsandsniffings.com)