50 ml fat was transferred. Will I end up having a balloon face? (Photos)

For a thin face, 50cc of fat can be transferred throughout the face.  We usually expect about 50% of the fat to be resorbed.  And at one week you also have some significant swelling.  So much of what you are seeing now will go away.  You had a nice shape to the face before so not sure what the goal of your fat transfer was.   

It may take up to a month or more forswelling to subside after fat grafting. If you're still unhappy afterthat, I'd suggest finding an expert for treatment options. Best, Dr. Emer.

Thank you for sharing your question and photographs and I am sorry that your current results have caused you concern.  After any surgical procedure the operated upon tissues will have a significant amount of soft tissue swelling that will mask your long term results.  Additionally, fat graft "take" often requires 6-8 months to see what will survive. I know waiting is difficult but allow yourself a bit more time to have your results mature.  Hang in there!