'her trepidation' is correct and usable in written English.
It is a noun that means an intense feeling of fear or apprehension about something. Example sentence: She felt a rush of her trepidation when she saw the dark clouds gathering in the sky.
And for Ms. Campbell that factor is powerful enough to trump her trepidation.
This level of scrutiny has taken some getting used to… Mentions her trepidation at starting her own career….
But first she had to secure permission and this gave her trepidation.
Then he upped the ante by running for president, even though she had talked publicly about her trepidation.
She can still remember her trepidation when she and her mother pulled up to the clinic a few weeks into her pregnancy.
It may be unreasonable to blame Fiorina for failing to realize that she was communicating her trepidation, or to fault her for not divining the consequences of talking about her reorganization ideas months ahead of time.
Still more engaging are Anna's accounts of her trepidations: Can her life-saving talents reach beyond livestock?
As promised, Kevin Jonas took Dani and the entire Deleasa family to Italy -- even Mom boarded that plane and took the trip, despite her trepidations.
His flirting with the "new philosophy" of the Enlightenment frightened her, his admiration of Frederick the Great offended her, and his foreign enterprises filled her with trepidation.
He took her to Chess Records, where he was a talent scout and producer, and wrote a number of songs for her, most notably "Wang Dang Doodle," which she recorded despite her initial trepidation about its raunchy lyrics.
So this, really, is her first contemporary novel and she admits that it gave her some trepidation.
