The phrase "a growing trepidation" is correct and usable in written English.
It can be used to describe an increasing sense of fear or anxiety about a situation or event.
Example: "As the deadline approached, she felt a growing trepidation about the outcome of her project."
Alternatives: "an increasing apprehension" or "a mounting fear".
China greeted its new prospects as a permanent American trade partner with official applause today, but there is growing trepidation as the country now shifts its focus to its future membership in the World Trade Organization.
Yet soon the cheerful mood may give way to growing trepidation over the difficult months ahead.Pressure on the prime minister for a reshuffle had grown during a year which has seen relations sour between the Congress Party and some coalition allies.
Labour's growing trepidation is balanced by the Tories' optimistic pragmatism.
She had listened with growing trepidation as Omar and his father argued late into the night, the elder man telling his son that they were playing with fire.
The arrival, however, of the 7 billionth person in the next few days is being awaited with growing trepidation about the devastating impact of humans on the planet.
His growing trepidation, colleagues' frayed tempers, last-minute worries about Richard's hump and first-night nerves feature in Sher's diary, complete with his wonderful caricatures.
Three women have been abducted and killed, and Pascal is one of the suspects; Moll stands by him, and you start to wonder, with growing trepidation, what it would take to pull her away.
TO judge from lobby talk during performances by the New York City Opera this spring and continuing chat on opera blogs, there has been growing trepidation among the company's supporters over the coming of Gerard Mortier.
Red Hat goes on to say with fervent glee that this business model is not only doubling its revenues annually, but also adding to "the growing trepidation of the old, proprietary software vendors".
In the end despite the growing trepidation over home prices that consistently and rapidly increase, it's difficult to say just when a price drop might occur, or how.
