Seeking expert counseling is a sign of strength. A personal relationship with a caring professional is proven clinically effective.
I believe that I can help.
Fluoxetine (widely sold as Prozac) has listed hair loss as a RARE side effect.
About 1% of users report some mild hair loss, but all of this is not necessarily due to the fluoxetine.
It is a condition that is usually not permanent.
If you are experiencing hair loss and wish to quite the fluoxetine, you can wean off of it, following your doctor's directions.
If you are not losing hair, and the fluoxetine is helping to ease your depression, then continue using it and worry no more.