Torn by his impossible dilemma, he had been driven to dare that Ritual.

It left her feeling trapped, cornered, helpless to deal with an impossible dilemma.

What part of "impossible dilemma" is so difficult to understand?

"You may have given us a solution to what, moments ago, seemed an impossible dilemma."

Her mind raced, turning back upon itself time and again, trying to find a way out, some way of resolving this impossible dilemma.

The two conflicts also conflict with each other, placing the protagonist on the horns of an impossible dilemma.

Maybe that is a way out of what seems to be an impossible dilemma.

Riker drove the wishful thinking and impossible dilemma from his mind.

The colony governments are thus faced with a cruel and impossible dilemma.

If accepted by the Government, it would place the guerrillas in an impossible dilemma.