In simple terms, the phrase "fraught question" means a difficult or sensitive question that could lead to tension or problems.
Sentences with «fraught question»
It is perhaps the most fraught question in the dating... women currently think about the issue. (singlesdatematch.com)
The war question thus serves as a proxy for the more fraught question at the heart of her book: Has the restrictive creative atmosphere post-1979 been good for the moving image in Iran? (firstthings.com)
Leaving that fraught question alone for the moment, I would raise a different one: Do microphones encourage poor preaching? (firstthings.com)