You shouldn't worry too much however if you don't do a job that is within aviation at the moment, and perhaps the best bet for a graduate would be to do any job in either a the city or the management world - this should give you something more than the average to offer a future employer, in that you would be aware of real business and how it operates (often something sought from sposorship candidates). Of course if you are able to get some aviaiton experience all the better, but it sounds as though you are fairly aware of aviation ops as it is.
So long as you don't waste your time in a job that is simply in the airport (Starbucks barista etc), just focus on making yourself look best possible - have a go for the Accenture jobs etc - insights into the broader business world could make you a more rounded person in the eyes of the interviewer.