Glad I could help. You know I had similar problems with my 2 best friends ! They started a fight with me under some pretense. I felt guilty for quite a while. Actually it had nothing to do with me ! After 10 years, we reconnected and we are the best friends of the world again. We all learned a lot from this.
It doesn't have to take that long but it won't be solved in a week. I would be surprised. If your friend is so defensive, she must know deep inside that you are right. It takes time to come to the surface, I guess. You did what could be done. Don't feel bad about it.

I am from the East of France. I lived 4 years in Paris. Love the city. It is actually a small place. A lot of shop owners still remember me. Going on a trip to Paris on the 19th to meet a pen-pal I never met before (we have been corresponding for 15 years!) He is from Hong-Kong. I am looking forward to this! I am also going to lie on the beach they build every summer and get a glorious tan.