First of all, I am glad to hear that you want to talk about the difficult cases because it means that you are okay with Catholic teaching in non-rape cases.
With regards to rape, ultimately is comes down to the fact that the child that arises from the rape should not be punished for the sins of the father. Catholic teaching respects the human being and sees the bigger picture.
What is wonderful is that if you want to understand what the Catholic Church teaches anyone can consult the Catechism of the Catholic Church (CCC) which can be found at: http://www.vatican.va/archive/ENG0015/_INDEX.HTM . The specific page that you are interested in is: http://www.usccb.org/beliefs-and-teachings/what-we-believe/c...
So, you can review the CCC to see what the Catholic Church actually teaches but in asking what anyone think you are getting their opinion and NOT necessarily what the Church teaches.
Finally, you selected a single tragic instance of a rape victim. I think you need to research and follow up with rape victims who have had an abortion and who later regret it. For example: http://www.lifenews.com/2013/05/06/13-year-old-rape-victim-r...
Regards