When it comes to finding synonyms for the term "awkward detail", a number of different options might come to mind. For instance, one might consider using the term "uncomfortable fact", which conveys much of the same sense of unease and discomfort that the term "awkward detail" does. Likewise, one might consider using the phrase "embarrassing data point", which again captures the sense of discomfort and uneasiness that can come along with discussing difficult or uncomfortable aspects of a given situation. Whatever words one chooses, it's important to aim for clarity and precision, so that the meaning and impact of the message being conveyed remains clear.