K.N.
Well, on the upside... Think of all the money you'll save from her not wanting to go to medical school...
If you think it's a phobia, then perhaps you can 1.) ask her pediatrician for suggestions on how to mitigate it; 2.) ask for a referral to a child psychologist or 3.) research whether hypnotism therapy will calm her anxiety. I have a friend who did hypnotism to change behavior and he swears it worked.