The phrase "a remote danger" is correct and usable in written English.
It can be used to describe a threat or risk that is unlikely to occur or is far removed from the current situation.
Example: "While the storm is approaching, the risk of flooding remains a remote danger for our area."
Alternatives: "a distant threat" or "an unlikely risk".
But the fact that there is a (remote) danger of conflict should prompt both governments to do two things.
But if even a remote danger is grave, as this one is, it can make sense to try to avert it.
Although both Miller and Krause had probably been in the front ranks of the demon strators initially, neither was in a position to pose even a remote danger to the Na tional Guard at the time of the firing.
My day's work is not an affliction, but a pleasure; my labor, selling in the open market, brings me the comforts that I desire; I am assured against all but a remote danger of starvation in my old age.
Since we were not invited into Iraq, Iraqis did not harm us, and they were only a remote danger to us, we did march into their country as illegal invaders and occupiers.
The likelihood that Saddam still possesses some nasty weaponry disturbs Pentagon planners, but most of his neighbours see this as a fuzzy and remote danger rather than a clear and present one.
Though seemingly a freak occurrence, it drew attention, partly because of the specific details: It happened on the hallowed grounds of Central Park, to a computer scientist, and pointed to a real, if distinctly remote, danger from above.
Because the Wells Gray-Clearwater volcanic field is in a remote location, danger from lava eruptions would be low to moderate.
The Insurance Institute for Highway Safety has found there is some remote danger to youngsters riding in a car's back seat should side air bags go off unexpectedly.
We pay far more attention to remote dangers than to the safety of our immediate circumstances.
But there are also indirect and only slightly more remote dangers.
