| I doubt anyone will even notice, so don't worry about resale value being affected.
It is highly unlikely to fall off, as it is applied in exactly the same way as the original factory-fitted badge, but you are right that it would not stick back on properly if you try and move it.
If you really don't like how it looks then just take it off. There are plenty of MINIs out there with no model badges, so it wouldn't look out of place.
If you feel strongly enough about it though, why not take it back anyway and get the dealer to put another one on in the right place? | 
