"afraid of the possibility" is correct and usable in written English.
This phrase can be used when expressing fear or apprehension about a potential event or outcome. For example, "She was afraid of the possibility of failing the important exam."
Too much of our theatre seems afraid of the possibility of contradiction or inarticulacy or stillness.
Republicans seemed afraid of the possibility that thoughtful people, because they think, often adjust their opinions.
No window cleaner has ever fallen, & the men have no fear of dropping, but they are afraid of the possibility of being hit by a suicide.
When she asked why a police car was parked outside the house, she was told that the family was afraid of "the possibility of retaliation by unknown parties".
We want the kids to find real love, and we are afraid of the possibility that sex can flower without love, that promiscuity and mere relief could be necessary habits.
But the main reason why NATO is not prepared to have an open discussion about who should lead and modernize the alliance is that it is afraid: afraid of having its divisions exposed; afraid of the future; afraid of the possibility of failure in Afghanistan.
To stand in the street, with a huge knot in the stomach, afraid of the possibilities of what six fighting bulls can do to you, is unimaginable.
If Talulla doesn't yank our emotional heartstrings (she knows we're too smart for that), she forthrightly elucidates ugly situations that even she's afraid of, like the possibility she'll be raped while imprisoned ("There was no kind of rape there wasn't a rapist for") or her repugnant temptation to kill and consume a human baby.
At one survivor's home in Villa Riva, a family friend said she was almost as afraid now of the possibility of reprisals as she had been when she awaited news while the boat was lost at sea. "We don't know what happened on that boat; I don't know if the survivors even know exactly what happened," she said, giving only her first name, Adalgisa, as a blackout shut off electricity in the home.
So far, neither man seems afraid of the last possibility, mostly because public opinion itself is so divided.
Is he afraid of these possibilities or is he, in a way, fantasizing about them?
