"hot embarrassment" is correct and usable in written English.
You can use it to express a feeling of intense shame or embarrassment. For example, "The heat of her blushing cheeks revealed her hot embarrassment at being caught in the lie."
His jokes have nearly rendered me blind from how far back my eyes roll, and my cheeks sear in white-hot embarrassment when he tires out his "bits" on perfectly decent people who are trying to live their lives without having to decipher whether my dad is making a joke or having a mental collapse of some sort.
"I thought that a negligee would be a fun thing to have," I stammered, my face growing hot with embarrassment.
As their frail arms drove deep and deeper into the pile, as they pulled out one stringy silken after another, holding it expertly up to the light for inspection, I grew hot with embarrassment.
I gawped in disbelief then feeling hot with embarrassment at the thought of it all I skipped off to play, with a sense that I now had an enormous secret.
I felt my face turning red hot with embarrassment.
And then here, post-Matrix glitch (P.M.G., as he will mark his life from now on), red and hot with embarrassment, standing topless in the Thames.
But it feels better than bowing my head and marching on with my day, shaken and cowed, hot with embarrassment and sometimes in tears, chastising myself for putting up with it and doing nothing to remind these men that it is not acceptable.
An editor will phone and I'll pour words down the receiver, fast and burbling, only to be left with a hot combination of embarrassment and exhilaration when it's over.
Potent as the deep, hot, red-faced embarrassment I felt in that moment, there was an insistent grace.
It was also reported that one-third of women with hot flashes described embarrassment and 20% described a general sense of a loss of control [ 7].
