The phrase "embarrassing request" is correct and usable in written English.
You can use it when you want to refer to a request that is potentially awkward or uncomfortable to make. For example, "I was too embarrassed to ask for help, so I reluctantly made an embarrassing request."
It's directed with witty speed by Will Gluck, who never lets its emotionally unattached sex partners make huffing and chuffing heavy weather of their bedroom scenes; rather, they play sex as comedy, full of awkward positions, embarrassing requests, and surprisingly revealing vulnerabilities.
Some were too embarrassed to request to-go boxes, partly a function of "natural British reserve," Mr. Tanner said.
And, yes, sometimes I resist it because I'm afraid it could be embarrassing making odd requests to people, saying things to complete strangers that may be quite personal, asking that guy for his number, hugging and leaning against that tree, etc., etc.
Some people may have a good reason for not removing their shoes - be sure you know that they are not going to be embarrassed by your request.
(Republican senators, in their comments, quote a State Department official who was told by another in Washington that approving one request "would be embarrassing and give Libya more security agents than in Yemen and Pakistan").
The decision of Europe's highest court ordering Google to delete, on request, search results embarrassing to private individuals, is a watershed -- and not a good one -- for the Internet and for freedom of speech.
Third Point's latest request is aimed at further embarrassing its target, seeking to unearth the paper trail that led to the hiring of Yahoo's chief.
The requests have involved criminal trials, embarrassing photographs, bullying and news articles that portray some people in a poor light.
Turning down someone's reference request can be awkward, upsetting, and embarrassing – for both parties.
He believes the full report has been suppressed by the commission at the request of national governments because its contents are so embarrassing.
