Lets examine the correlation between being a 'professional photographer' and a degree. About 2/3 of people who do a degree in photography will never work in photography. Oddly about 2/3 of professional photographers don't have a degree
For some areas of professional photography, a degree is essential - you won't get in the door without one. However these jobs are the minority, things like SOCO, medical imaging etc.
For most commercial jobs, it's all about the portfolio, for that, some technical training is worthwhile, but you really need the passion for it, you need a 'wow' portfolio to get through the door of a professional studio, with or without a degree.
However, most 'professional' photographers have no formal qualifications. To freelance, you just need a great portfolio and business acumen, and I can't emphasise enough how much more important business acumen is than photographic talent.
All that said, if you want any kind of job in photography, you definitely need some formal training. Some people pick up a camera and instinctively frame 'photographs', they have what some people call 'an eye for a picture', you can certainly learn this, but it's so far missing from your portfolio. So, unless you're really focussed enough to be learning that alongside a degree course, then a photography degree is probably not the best course of action for you.