The phrase "awkward discussion" is correct and usable in written English.
It can be used to describe a conversation that is uncomfortable or difficult, often due to sensitive topics or social dynamics.
Example: "The meeting turned into an awkward discussion about budget cuts, leaving everyone feeling uneasy."
Alternatives: "uncomfortable conversation" or "tense dialogue".
Their awkward discussion of sex has its amusing passages.
I had a difficult, frank and awkward discussion with her.
While the attorney was having an awkward discussion with Judge Cortez, the dinosaur sold to an anonymous phone bidder, for nearly a million dollars.
For one, the government would have to face the awkward discussion about the price we put on human life and the inadequacy of our compensation system.
As Virginia tells Bill during a brilliantly awkward discussion of chemistry and attraction, science can't account for everything – sometimes there's more to a story than cold, hard data.
Michael got Allison's attention at the Parody cast party at his (and, of course, his roommate's) house, where all involved engaged in a rather awkward discussion culminating in a decision that Michael and Allison would begin dating the next day.
Well, this saved a lot of awkward discussions about equal rights.
The conference may lead to a few awkward discussions between teenagers and worried parents who might quite like their offspring to be top lawyers.
On Dec. 8 the news came that one of the season's three new ballets, by the choreographer Alexey Miroshnichenko, would not take place for another year (thanks to awkward discussions with Prokofiev's estate over which version of the score "Chout" was to be used).
Some topics might be best avoided so you never risk getting in uncomfortable situations or awkward discussions.
It was instantly proclaimed 'the women's biennial,' complete with awkward discussions of allegedly feminine characteristics of painting and sculpture, not to mention a glossy photo shoot in The New York Times' fashion magazine.
