Speaking of the cut-outs..... .....why have a saucer at all, if you are going to make sections perhaps too thin to cross between easily? What would be the point of having those two normal segments of saucer continue on afterwards at the sides? Why not end the saucer in a square edge? If the cut-outs are what many people think their are, basically there just for style... they might invalidate the purpose of having a saucer; i.e. a radial circular habitation/work area stretching from one central point. That is what starts to bug people subconsciously when you make designs too busy perhaps. Maybe the indent is not as thin as it appears, or is actually a launch deck like Timo says, but no other ship have needed a launching area, just a door.
Overall, I don't mind the USS Europa, but like many people say, it would look better post-Undiscovered Country, or post-Nemesis. But ignoring all that, because I doubt casual audiences care, maybe the bigger issue is that the saucer being just a "normal unadorned saucer" would have been much more era-appropriate by subconscious association with the Constitution-class, like the Kelvin timeline ships of this era, like the USS Kelvin, which looks very very TOS/TMP, because of it's comparatively unadorned Franz Joseph look. Imagine how TOS-like it would have looked with round nacelles and a flat saucer, but otherwise unchanged.