You can drive on antidepressants but only if they are not causing your reactions to be slower
or blurred. Usually the side effects of antidepressants subside after 2-3-4 weeks, for some it might take longer, for others no time at all. I always take my antidepressant before bed and I find it cuts down on feeling most of the minor side effects. Of course, sometimes certain antidepressants (AD's), just don't suit people and it can be a bit of trial and error over a period of weeks. In general, I found the AD "Citalopram" works well and is low in side effects. There are many other people on the forum who are on it. You could suggest to the GP that you try that specific one, if any at all. I know your fears and it is true that some people prefer not to use meds. The trouble is, once you're on them for a while, you cannot suddenly stop and must reduce slowly under GP supervision.
I'm pleased to hear you're going to speak to the GP. These days, there's no need to suffer in silence