For what it's worth...I think people who are AFRAID of emotional intimacy are wasting both their time and yours.
Does she need time?
Who knows; she probably doesn't either. What does she need time for? To heal herself? Unless she has made a REAL effort, and by that I mean make an appointment to see a psychologist as a start to her healing, you're most probably wasting your time waiting. If you wait, you are probably floating on a cloud of wishful thinking that has no foundation. Clouds don't have foundations, they are nothing more than distant illusions.
Sorry, but I was married for 7.5 years and with him for 11 in total, and his intimacy phobia never got better: it got worse

It may have developed if he made a choice to live a colourful story, but he chose to stay phobic, thus living a boring essay.
Face it, everyone has a story to tell about their childhood; very few are free from negative experiences of some sort, much less 'models of a "perfect" existence'. What's important is her inner strength and what she is doing to move closer to the reason she was born in the first place. We ALL have a responsibility to be the best we can be, whether that be emotionally, physically, mentally, academically, spiritually...whatever. Those who merely 'exist', are totally wasting their time, thus living like a boring essay: introduction, mediocre body and conclusion. There are essays, which are usually about arguments, and there are best selling stories that entertain and add real value to the psyche. People don't buy essays, but they DO buy stories. We all have a choice...live like an essay, or live a story.
I think you've already seen the 'introduction, so you can guess whether you're walking into an essay or a story.