There is a bit of me that wants to rip your head off and slap you. Possibly knock some common sense in to you.
Humour and head bashing keyboard aside, it is time for me to put the honest cards on the table
You will be expected to do presentations during your degree. These may be done in the front of classes or they may just be done in front of a group of lecturers. You will be expected to be able to defend your assumptions. Sometimes this may take the form of a presentation of where just a few members of your group do the main of the talking and the rest are reffered to for answering questions on sections they have covered in more detail. Other times, you will be expected to do it with the support of one or two people, possibly even on your own.
In the world of Civil Engineering, we have to bid for contracts and deal with various conflicts such as interest groups and other companies. You will be expected to be able to produce presentations or even run something on the fly. This does not mean that people expect perfect presentations. Heavens, I do one a week for the the Photographic Society and many people would be able to spot the possible flaws.
As a result, you will be expected to do around 5 per year and they will be quite an integral part of many of your courses. The consequences of refusing will result in you failing modules (as your colleagues will criticise you) and ultimately failing your degree when presentations become more important and more effort is put on individual presentations.
My advice is that you try to find a solution or mitigation to your phobia or get on with shelf stacking at your local supermarket.
There is a possibility you could pass your degree by trying to avoid them at all costs but I am concerned that you will not have the skills base required to take on the real world one you graduate.