One of my flushes when I expelled loads of bright green bile I found I didn't want any fatty foods. I couldn't even stand the cream in my coffee for a few days afterward. I wonder if its possible that by getting rid of so much bile, your body is telling you to hold off on fatty foods until enough bile is made again. Just my thoughts.
I usually eat some dandelion leaves for a few days prior to the flush and a few days after to increase production of bile. I haven't had fat intolerance after a flush since I started this, but it may have as much to do with my improved liver function as anything else.