The phrase "a sip of cold" is not correct and lacks clarity in written English.
It could be used in a context where you are describing a drink that is cold, but it needs additional information for clarity.
Example: "After a long hike, I enjoyed a sip of cold lemonade."
Alternatives: "a sip of chilled" or "a sip of icy".
I took a sip of cold, black coffee from the chipped cup on my desk.
"And they work?" she asks, smiling, "even if you know they're placebos?" "They work this week," I say as I take a sip of cold, sour lemonade after each pill.
Her mother takes a sip of cold coffee, regards her – because whatever she's saying now, her daughter has sat with legs crossed, elbows on thighs, face in hands, and all eyes for three hours, all ears, rapt... listening to the story of how the world came to an end, words settling on her imagination like the shivering of fresh ash.
When it gets as hot as it's been this week, there are few things that will whet a flagging appetite like a sip of cold soup.
A good sangrita has an almost magical ability to scrub the palate between sips of straight tequila, in the way that a sliver of pickled ginger prepares you for the next piece of sushi or a sip of cold Muscadet sets you up for your next oyster.
– Carry water – take a sip of cold water to suppress the urge to cough.
She takes a sip of something cold and clear and seems to have a sudden thought.
The January air is crisp, cool and clean, each breath like a sip of fresh, cold water, and soaking up the ever-present sunshine I can't help but feel its warmth rising within me in waves of profound joy.
And then, as the chug-a-chug of the churning water combines with the guitar, recorder and keyboard strains of the multitude of outdoor performers, take a sip of something cold, enjoy a momentary breeze and you'll forget that Baltimore in the summer can sometimes be too darn hot and humid.
The man took a sip of ice-cold water.
When you feel yourself dozing off, take a sip of some ice cold water.
