Your girl says she need space and time What should you do?
Give it to her, and decide if you want to wait or move on. You can't hold her if she wants to be someplace else.
you should ask this girl out and even if she says no don't give up there is always another girl to ask out. and if you ask her and she says no but you really like become her friend and maybe go out with other people and when you feel you know her enough ask her out again if she still says no move on.