If you want a career as a trader in a hedge fund (i.e. as someone who manages their own book, rather than someone who executes other peoples trades) you will realistically have to come in through one of two routes. The in-demand people for trading positions in funds tend to be one of:
1. PhD/Masters in mathematics, physics, engineering, computer science and machine learning from top universities. Perhaps economics, if you focused on econometrics/time series modelling.
2. Traders from other environments (e.g. investment banks, oil/energy companies) who have a track record of success.
Also, your math will need to be outstanding. In the time between now and your first job, the hedge fund sector is only going to get more quantitative.
There are other roles at hedge funds that you might find interesting (research, sales, marketing) and there are trading opportunities at other firms (banks, brokerages, mutual funds, energy firms, prop firms).
I would advise you not to zero in on any one career option right now, but instead study something which will keep your options open and is quantitative (math, engineering or the hard sciences). This will set you up to look at jobs in finance when you are graduating.