They are trying to protect their child's anonymity.他们想保护自己的孩子，不愿透露其姓名。

She enjoyed the anonymity of life in a large city.她喜欢大城市里那种人们基本上互不相识的生活。

She agreed to speak to the reporter only on condition of anonymity. [=only if her name would not be revealed by the reporter]她同意在不披露姓名的条件下接受记者采访。