I take Prozac for my bipolar depression and it works pretty well for me. I've had a depressive episode for the past several days, but I'm feeling better now.
Depression is genetic, so if your mother has major depression, there is a possibility that you could develop it as well. It's also possible that you won't.
There are alot of factors that go into determining who will or won't experience depression or any other form of mental illness. Environment and stress can also have an implact.
Some people who have a history of depression, etc. in thier family never go on to develop depression themselves.
I wouldn't be too concerned, but if you notice a change in your mood, you may want to see a psychiatrist for an evaluation.
Note that GPs (medical doctors) do not know alot about psychotropic meds (like Prozac) or how to treat mental illness and/or depression, so that's why it's best to see a psychiatrist.
I hope this helps.