Sentence examples similar to a touch of coldness from inspiring English sources

The phrase "a touch of coldness" is correct and usable in written English.
It can be used to describe a slight or subtle feeling of coldness, either literally or metaphorically, such as in a person's demeanor or atmosphere.
Example: "Despite her warm smile, there was a touch of coldness in her voice that made me uneasy."
Alternatives: "a hint of chill" or "a trace of frost".