"...but Anne, with an elegance of mind and sweetness of character, which must have placed her high with any people of real understanding, was nobody with either father or sister; her word had no weight; her convenience was always to give way -- she was only Anne.

To Lady Russell, indeed, she was a most dear and highly valued god-daughter, favourite, and friend."

Focussing on Anne, and who favours her and who does not, it's clear at this point where Anne stands in the scheme of things. Being unlike her father, she is not favoured, and it also appears from the text that her attributes are there, but are just not favoured by those that surrounded her, other than Lady Russell.