adjective

how would you describe a girl who's not loose, like she does not look at you, and wait for you first to go talk to her, and then it takes her a while to be friendly with you, etc. do you get what i'm saying?

DIVIE or divy I dont know how to spell it right

How about reticent?

Here's the definition from dicitionary.com:

ret·i·cent P Pronunciation Key (rt-snt)
adj.
Inclined to keep one's thoughts, feelings, and personal affairs to oneself. See Synonyms at silent.
Restrained or reserved in style.
Reluctant; unwilling.

Also from dictionary.com, another definition for reticent, which is more appropriate to this situation:

reticent

adj 1: temperamentally disinclined to talk [syn: untalkative] 2: cool and formal in manner [syn: reserved, restrained, unemotional] 3: reluctant to draw attention to yourself [syn: self-effacing]

and from the thesaurus:

Main Entry: reticent
Part of Speech: adjective
Definition: secretive
Synonyms: bashful, clam, clammed up, close, close-mouthed, dried up, dummied up, garbo, hesitant, mum, quiet, reserved, restrained, shy, silent, taciturn, tight-lipped, uncommunicative, unforthcoming, unspeaking

stand-offish

Just use "coy".

"stand-offish" and "coy" are good. However, "coy" implies a certain bashfulness. Some women are just prima donnas and come off as distant, cool, chilly, icy, remote...

<<DIVIE or divy I dont know how to spell it right>>

I think you mean "diva".

>> how would you describe a girl who's not loose, <<

You do know that 'loose' means 'sexually promiscuous,' right?

PETER THE WORD IS "DIVVY" AND IT"S A NORTHERN ENGLISH WORD, MORE PRECISELY FROM THE ONCE SPOKEN LANCASHIRE DIALECT IN NORTH WESTERN ENGLAND!

Well <<not loose>> is a good way to be - for some people anyway- than the opposite of that which is 'sexually promiscuous '. Unless you'd rather her to be that way with you.
If you don't mean it in that sense then the girl is 'shy'. She could also just be 'stuck up' or a snob.

Wouldn't you call ANYBODY who is not immeditaely open "reserved"?

Why is there a special word if this person is a girl? Only guys who've had their egos bruised by this girl (usually by some imagined slight) may call her alternatively an "ice princess", a "prude", or a "bitch". And the last one is the most uncalled for.

Hey, I'm like that;;;; except that I'm a guy. That means I'm coy. Mmmm <thinking>

"Reserved" sounds reasonable.

Tiffany I believe the last one "bitch" is indeed most called for as regards you dearest!