Refers to one's own daughter or someone else's daughter. Neutral and widely used.
My daughter will be 10 years old this year.
His daughter is very kind, isn't she?
Used for a young, unmarried woman, often with a slightly old-fashioned or affectionate tone. In modern casual speech, 女の子 is more common for 'girl'.
That young woman always has a smile and seems nice.
The young women of the village performed a dance at the festival.
Next month, we're going to give our daughter away in marriage.
There are fewer young women in the village now.
Our daughter was born last week.
She has raised her daughter on her own.