When I read about this finding 2 weeks ago, I couldn't help asking myself "who writes such headlines". It it completely bogus.
In space, by definition, there is no preferred up or down, left or right, front or back, clockwise or counterclockwise. These notions are always relative to the observer. OK, in this case it's us. But they are never absolute, which is why that makes no sense.
Rotation of a body is mathematically defined by its rotation vector. If you look at a rotating body and the rotation vector points at you, you see the body rotating CCW, and CW otherwise. This is what other commenters refer to as the right-hand rule. If you bend the fingers of your right hand and point the thumb at you, the fingers point in CCW direction. What the article says is that it appears that most galaxies within the sample seem to have a rotation vector which has a radial component pointing away from us, which you can easily visualize by pointing the thumb slightly away from you. But the notion of CW or CCW is entirely bogus in this example because it depends on your aspect angle. If we were to watch a galaxy rotating "CW" from the other side, it would be seen rotating CCW.
It appears the author of this article does not trust his readers with this spatial imagination, and everyone else copied the headline without thinking.
And while we're at it - the doppler shift does not make a galaxy appear brighter or dimmer. Instead, the part of a rotating body moving towards us (or rather, the part whose motion vector has a radial component pointing towards us) will be blue shifted, the other part red. This is how we can determine the rotation of a galaxy to begin with.
Duh.
Anyway - the finding, if statistically confirmed, would be interesting enough without this fuzzy clickbait. However, one would have to check if a potential preferred direction coincides with the anisotropy that has been known for long for the cosmic microwave background.
Everything else (we're inside a black hole etc.) is theoretical astrophysics speculation which can hardly ever confirmed by actual observations.