Ugh, sorry to hear that you have suffered the same fate as so many others.
But fear not, it can be fixed, unless of course they use a SOS pad. It sounds like your paint is probably at least 60 days old, so you really do not need to anything too special. Just wash her again, properly, use a good car soap, and there are many to choose from, I like Griots, and use a nice chamois or good soft cloth to dry the MINI off, then look again for your swirls. You might be lucky, and what you are seeing is just dirt or drying marks.
If not, no worries, just move to a nice clay bar or paint cleaner to lightly buff the swirls out. When you are done though, you should really wax the MINI. Any pre-wax coating that came from the factory will come off if you use clay or paint cleaner.
Lots of products to choose from, lots of great recommendations here on NAM. I like Griots, or if you are looking for something you can p/u at the store, Meguair's is not too bad either.
If you are lucky, then a wash should only take you 30 mins to an hour. If you have to clay and wax, figure another 3.
Just remember, the reason those marks are there is due to unclean wash soap, bad washing mits (or none at all), and a half-assed job. So get yourself a good wash mit, detail clothes, and car cleaner products.
Good luck
