Pretty Quilt and your friend will love it.
Could you do the little quilting swirls a 2nd time around and cover the fold up that way? That might be a fast fix.
Or could you just take out that particular area of binding and pull the excess over and resew? I'm so OCD that I'd probably take enough of the binding off redo that small spot. It's a hassle, BUT I suspect it will bother you to high Heaven if you don't.
So it's more swirls or The Froggie Dance.