If this happened to me I guess I would take the apology and move on, BUT that is just me. People make mistakes, it happens.
I definitely wasn't a happy camper at all. I did receive a copy of the pathology report from my physician. My physician reassured me that it wasn't cancerous, so I am glad to hear him go over the results and restate this to me in person. I think that I have lost a bit of confidence in this hospital, but definitely next time I deal with this hospital I will be extra cautious.
Oh my gosh! I can't believe they sent you that letter when you didn't have cancer...and then to ring and ask if there's "anything she could offer me to put my mind at ease"...I woulda said "yeah, get educated on how to NOT send the wrong info to the wrong patient"!! LOL...I would have lost alot of respect for the hospital and the people who work there (not that I have much respect left for most doctors anyway!!)
I hope it all gets resolved soon and your mind put at ease!! :)
I am sure the hospital will in some way either change the way they do things or at least give you a free McDonald's voucher ( I say that in a joking way, of course!)
Now as for YOUR emotional state; YES, you are going to feel that niggling "What if they're right?" doubt. Most of us would be thinking that way, and then going ahead and seeing if we have anything wrong. Personally, I would be asking for the pathology report of your surgery, and you have every right to it. I am a stickler for saying, 'I want a copy of that please.' The law in USA, UK and Australia (not sure about the others!) state you have the right to your medical information at the time of consultation and limited time beyond. So go get the pathology report, that is the only way you will know 100% that it was correct.
I am sure it has been something that has shaken you up, but you can be in charge of this!