She wanted to be there as an anchor for her but at the same time she would give her freedom to find her own identity. (Para. 23)
Meaning: She wanted to be a person who can make her feel safe and supported but at the same time let her find out who she is by herself.
Here "anchor" is used figuratively, meaning "a person or thing that provides strong support and a feeling of safety".
Parents are always an anchor for their children. 父母总是他们孩子的依靠。
n. 锚,锚状物,依靠,新闻节目主播,压阵队员