Anxious for their own safety.
The most anxious man in a prison is the governor.
She was anxious about Leonard, for whom they certainly were responsible.
I am anxious about/concerning your health.我很担心你的健康。
I am anxious for your safety.
I am anxious that he shall/should avoid the mistake.I am anxious that he avoid the mistake.
I am anxious for him to try his best。