My friend you certainly don't need a degree to become a trader. In fact many successful traders of times gone past have come from all walks of life at varying levels of education.
To be successful getting the correct mindset is the most important asset. No degree will help you in the markets as your mind plays games with itself. No amount of learning theory or technical analysis will help you either, the only thing that will is by learning first hand by getting your hands dirty in the markets.
My advice? Trade for yourself. Why trade for someone else? Learn the basics of technical analysis (babypips.com free school), read trading in the zone by mark douglas, get a solid price action strategy like the pipdaq setups and then practice, practice, practice. Forget a degree, pHD or any education - it will not help you with your goal.