This may sound mean but I don't think because you had cancer and the cancer, with treatment, was cured has much to do with your strength as a person. When I was in that situation I didn't "fight"; I don't even know what I could have done that would have been "fighting". I was petrified. I did the things recommended and I felt very very lucky to make it through.
I'm not saying you personally don't have and don't need strength to get through your medical problems. What I'm trying to say is don't choose her on the basis of her having had cancer, which seems to be one of your strongest motives.