I see that this is an old thread that got bumped, but just in case he didn't get things figured out (and for the next person with a similar question).......
Dave here is the correct answer for you, without any nonsense like some of the above.....those wheels will fit great. It sticks out only 2 more millimeters than a 9.5" et45 wheel which is recommended for sedans. You have a coupe with something like 5 more millimeters of clearance. So, these offsets were the correct ones you chose for you car. They will stick out more than the factory wheels, which have the "dog with his tail between the legs" look. It's gonna look good as far as fitment goes. Use a 225 width tire.
As for shaking, the only person right about what was causing that is ac_007, post #4. But look in to what Nerdy said as well because it is a good point, if the hub bore is too large it would more than likely cause the wheel to wobble too.
JB '03 540i/6 M-Sport