Don't think Accenture needs an IT background. All they need is somebody you can learn and think fast, communicate articulately and lead. It would help if you have a business process change or project management experience.
I come from a similar backgound. I graduated 2 yrs ago and got a job with a blue chip in finance. My IT skills are limited as well, I have no programming/coding/configuration knowledge, only basic SAP training, system, design and implementaion experience, all around finance. And I got headhunted and got an offer from Accenture...today, starting on a consultant level.
So, don't downplay your skills, try to find examples relevant to consulting (you proposed a change, implemented new process, resolved business issue..) and don't position yourself as an analyst. let them decide.
And I got a question for you as well - why is Accenture number 1 for you?