You do not dump her. However, her saying she would leave you if you do not commit yourself fully is immature. The right thing to do is always 100% committment, but pulling it out of someone with threats isn't the right way to go about it.
You should do what you can to make her feel appriciated, apart from that you should explain you need to make your life work to be able to be there for her in the first place.
But don't put friends or personal interests ahead of a relationship, that's just wrong.