I'm pretty sure these kinds of regulations have existed in the US for a while too. According to [1], having an algorithm be interpretable (which NNs aren't) is a legal requirement in any financial decisions subject to anti-discrimination laws.
In this case, it doesn't necessarily mean there will be a HUGE CLASH. We will either turn to more interpretable AI, or continue developing more and more interpretability techniques for deep learning, which has been an area of very active research in the recent years.
[1] https://www.cs.princeton.edu/picasso/mats/Book_Schapire.pdf page 664