It isn't the university or your mother that is making you unhappy. It is you that is making you unhappy. It's easy to blame external sources, and you might feel a bit better if you quit philosophy and go out on your own, but you'll eventually find a new reason to be just as unhappy if you don't get to the root of it inside yourself.
It's not your mother's fault that you are unhappy; she's scared and reacting accordingly. It's not the universities fault; you're the one that goes there by choice. It's not your fault, either; you're just as scared as your mother. But it's inside you that you need to change if you want to really be free, because the world will always have emotional chains to snare you as long as you make yourself see them.