My daughter has always been shy.
But she is also very self-assured and confident.
Shy does not equal, being timid or insecure.
There is a difference.
BUT my daughter is also VERY wise, about people and social situations. She 'chooses' her friends and who to interact with.
We never made her be friendly with everyone.
We nurtured HER.
We nurtured her inborn talents and intelligence.
She thus, is very self-assured.
As she has gotten older, she has NATURALLY blossomed. She was even chosen by her Teacher, to be her tables "Leader" in class. Because, she is wise about kids/people and has good thought processes.
Sure she is shy, but she can do things. And her Teacher, recognized this. Her maturity, even if 'shy.'
We never, told my daughter to be anything, except herself.
We never made her feel weird, just because she was/is shy.
She is thus, always herself, and has good instincts and is wise about things. She is not a "follower" either, and knows herself. Very well.
AND... we also TRUST her very much. Because, she knows herself and is very good, about analyzing people. More so than most kids her age.
So, her apparent "shyness" was and is, a GOOD thing. Because, she is a KEEN, "observer" of people.
Being 'shy' is not the end of the world. Many Geniuses and successful people, were or are shy.
Do you know, that even some celebrities, say that they are actually 'shy'?
She should be nurtured for who she is. So she gains self-assurance. Not it being about how 'shy' she is.
To a certain extent, if a child is told they are shy or timid, they they may be. Because that is the focus... not it being about 'who' they are.
And if others constantly regard the child as 'shy' or that something is 'wrong' with her... kids can feel those vibes. They will then, not want to be around those people. Or feel, uncomfortable around them.
Einstein, didn't talk, until he was 3 years old. And he was said to be a socially awkward person and child. But he is a "Genius."
Being 'extroverted' does not make one child better than the other.
It means, nothing.
It is not your place, to comment on their child.
all the best,