Anything has to be an improvement on how it's styled on the website! It's a lovely dress but they haven't exactly shown it to advantage. footless tights? is it 2004?
What about a metallic/glittery blazer and chunky bangles? Not sure about the shoes - I would actually stick within a colour palette of silver/grey with this because the lace detailing is so lovely - it seems a shame to detract attention away from it. For the same reason I would avoid necklaces.