"bitter fact" is correct and usable in written English.
You can use it when referring to an unfortunate truth or reality that is difficult to accept. For example: "The bitter fact was that no one was willing or able to help us."
A bitter fact: the Cains of this world are more beguiling than the Abels.
It is a sweet and bitter fact of modern battlefield medicine that more warriors can survive devastating brain wounds that would have killed them in previous wars.
But that statistic masks a bitter fact for the Big Ten: the three biggest cable companies in the country — Comcast, Time Warner and Cox Communications — have all refused to carry the channel.
That bitter fact was vividly driven home yesterday by The Nation, which published a tape recording of a 41-minute, 1981 interview with Lee Atwater, the political operative who led the Republican Party's "southern strategy" and formulated the politics of division and cultural warfare in the 1980s.
This bitter fact legitimizes a repeat of history: making an exodus inevitable.
The bitter fact is that the American democracy has been transformed into an oligarchy.
It is this readiness to confront bitter facts, and to make their bitterness sweet through his art, that makes Hardy not just a great writer but a wise and trustworthy one.
"At my time of life one must face bitter facts," she says, but refuses to do.
Let us recall a few, just a few of the bitter facts," he said.
It stonewalls the bitter facts and paints the picture of an Iran transformed from an axis of evil to a bastion of peace.
But she isn't bitter; in fact she realises that the exposure changed our perception of art, predominantly for the better.
