Railthe.
If you can find 15 year A3 in good condition and within your budget snap it up. The important point there is good condition, meaning well maintained and with a full service history. Anything less will likely land you with some expensive repair bills in the near future, and believe me Audi repairs are very expensive. Of course if you can do your own maintenance that will help a lot in keeping costs down. Gareth in particular can advise on that aspect.
Having said that, I do feel that a Nissan Micra would be a better first choice. It would be cheaper to buy, cheaper to run, cheaper to insure, and cheaper to maintain. I do appreciate that a Micra has just about zero appeal compared to an Audi. It's up to you to decide on the balance between practicality and appeal.