Love can be devastating as well as beautiful, and a woman who opens her heart to love you, when its already broken, is braver than any person you'll meet. A broken heart is something that is very hard to recover from, but many women experience this pain and then allow themselves to become vulnerable again in the next relationship. This is one of the bravest things that anyone can do because it is human nature to protect yourself from pain and perceived threats, both physical and emotion. It is natural to want to avoid feeling exposed and vulnerable yet a woman still does this exact thing when she falls in love with you after her heart has been broken in the past.
Some women become love shy after being hurt in a relationship, and this can result in trust issues that are not easily to discard. If a woman does not allow herself to love again after a bad experience then she could become cold and bitter, never knowing the joys of real love again and missing out on what is one of the best parts of life. If a woman has been wronged in the past you can bet her heart is still very fragile, and offering it to you is an act of bravery that you may never truly understand. Just be grateful that she is willing to give love a second chance, and that she chose you to do this with. Make sure that you are gentle and kind in every way so that she does not regret her decision later on.