Idiom for a Shy Girl [closed]
Quiet as a mouse
(of a person or animal) extremely quiet or docile.
Wallflower
a shy or excluded person at a dance or party, especially a girl without a partner.
Shrinking violet/Modest violet
A person referred to as a shrinking violet is a timid or shy person.
Reserved
slow to reveal emotion or opinions.
Uncommunicative
unwilling to talk or impart information.
Source: Oxford Dictionaries
In a more general sense, you could use 'introvert', though this is not a specific term. Anyone who keeps things to himself and doesn't disclose his thoughts to many people is an 'introvert'.
The adjective Demure also describes a woman in this way:
(Of a woman or her behavior) reserved, modest, and shy: ‘a demure little wife who sits at home minding the house’; see, Oxford Dictionaries
You could use
reticent
Not revealing one’s thoughts or feelings readily:
she was extremely reticent about her personal affairs
Synonyms include:
Diffident
Modest or shy because of a lack of self-confidence:
Guarded
(of a person or a remark they make) careful; not showing feelings or giving much information
Taciturn
(Of a person) reserved or uncommunicative in speech; saying little:
(Oxford)
Wallflower
informal a person who has no one to dance with or who feels shy, awkward, or excluded at a party.