It might be the only word I use that I have never considered spelling, so I am grateful that you included it your comment.
That said, I think you are wrong and it should be "uey", "uie," "u-ie," or any other spelling that emphasizes the "u" after which the term is named.
Also "I do not know the answer but I am sure you are wrong" is the most internetish comment I've ever made, so that's two striking experiences for me today.
As a former Scripps spelling bee contestant, I've developed a low-grade allergy to commonplace onomotopeic words with no obvious, agreed-upon spelling. Recently I struggled with zhuzh (which has the bonus terror of having an alternate spelling, 'zhoosh') - but I commend OP for having chosen a phonetically parseable spelling over one of your (arguably more appropriate) choices, as I suspect it would have taken a lot longer to divine meaning from.
My etymology makes sense. You can even extend it to the "jouergeois" if you need to describe middle-class foodies.
In this case I am definitely wrong and I blame Canada.
But yeah, u-turn, not you-turn.
> U-ie n.
> also U, U-ee, U-ey, U-turn, youie
> (orig. Aus.) a U-turn; thus chuck/bang a U-ie, to make a U-turn.
I also toyed with just putting "flip a bitch" but figured some might find that problematic as I'm not entirely sure of it's etymology...