Perhaps the pyschologist who kept focusing on it not being your fault is used to dealing with women who are raped by acquaintances - where that sort of guilt can be a big issue - I know it was for me when I was raped by a supposed friend. Obviously your situation is very different because you don't know the person so can't think back over situations and wonder if you should have handle things differently etc.
I'm not sure how he got into your house but I hope you have been able to improve the security to make you feel safer.
Years ago I was burgled and while the criminal had left before I got home it was a horrible feeling to know that someone I didn't know now knew how to break into my house and due to the framed photos I had around my house they would know it was a single woman and a young girl living there so I was worried they would come back.
I was renting at the time and demanded the landlord improve the security - the windows could be opened from the outside. The landlord refused but I was able to use this as a reason to break the lease and move elsewhere (I ended up buying a house where I could ensure I was safe).
I can't imagine how horrible and unsafe I would feel if something like what happened to you happened to me.
Big Hugs to you.