她不需要别人的帮忙英文

二者皆可。
1. 情态动词用法
needn't help 需要帮助别人
这一用法翻译你的问题就是：He needn't be helped by others.
2. 行为动词用法
a) need to help 需要帮助别人
b) need helping 需要被人帮助
c) need to be helped 需要人被人帮助
这一用法就有以下两种翻译办法：
He doesn't need to be helped by others.
He doesn't need helping by others.
当然以上讨论的都是有关need的用法，如果考虑help的词性，还可以翻译为：
He doesn't need any help by/from others.等等

She does not need others to help

She needn't others' help

她不需要别人的帮忙
这句话的完整英文是：
She does not need other people's help

She doesn't need other people's help.
or
she needn't any help from the other people.

两个都可以。

doesn't need to do sth 用的比较多。
She doesn't need anyone's help.