@new2it61,
Space means different things to different girls. I will be frank with you because I think it is kinder.
When I told my boyfriend I wanted space, I felt claustrophobic. I was questioning the relationship and whether it was what I wanted. I had been with him for 2 years and he was very attentive and soppy, but I didn't know if it was love or familiarity I felt. I asked for space because I wanted to excersise my doubts, which was important to me. It didn't mean I didn't care, or that I wanted to end things, just that something wasn't right and I needed to work it out. The time out lasted 2 months. He struggled with it at first but he began to understand. I will come back to this.
Your girlfriend may need time to think too, and despite your rendezvous in the middle, it doesn't solve her initial problem. What you might find is that you may be making it harder for her to work things out. If she gives in and you guys are together again before she gets things worked through as she planned, you only suppress her doubts and trust me, a girls emotion does not stay hidden for long, it tends to fester and gets worse, the last thing you want is for this desire for space to reappear further down the line in a more advanced state. It sounds like she loves you, so don't be afraid.
My advice to you is to understand her request. Tell her that you will give her space, and encourage her to take as much time as she needs, you will be waiting, and that you are happy for her to make the next move. Even if it is killing you, resist the urge to push, to text or call, let her come to it in her own time, it could be weeks, or even months but you have to decide if she is worth waiting for. If she is, that is all you need to know. Use the time to work out your own mind and heart. If she decides positively that the relationship is right, then you have no idea how much love your respecting her now will win you.
Coming back to my boyfriend of old, 2 months later we were back together, 13 years later we are celebrating our 12 year wedding anniversary in April. So it can end happily.
Keep your chin up chuck!