Lexis95 wrote:...but I'm kinda wondering if I give her space will she come back ...
Maybe, maybe not. One thing is guaranteed though, if you don't give her space you are absolutely done.
The same as she is young and needs to grow up, so do you. I know it is difficult...I'm not saying it is easy, but the healthy thing for you to do is to start pursuing new relationships and stop looking for a commitment. Find another girl you can date, then another and another. I'm talking going out for coffee, maybe meet for lunch. Stop putting in so much effort into one person that has told you she isn't ready.
You want some guarantee if you give her space she won't find someone else and that she will come back. Well, sorry dude, that isn't how life works. But, if you don't back off it is definitely over.