The total mass can be estimated from gravitational lensing, and for rotating galaxies the distribution of mass within the galaxy can be estimated using the speed of rotation of stars at different distances from the center.
The dark matter most people are looking for only interacts with gravity which means other than gravitational lensing it would not interact with light in any way (and the lensing is technically not an interaction either).
My own personal opinion is that whilst MOND is probably wrong I think the idea of it might be closer to reality that not.
I don’t think that dark matter as in matter that interacts only with gravity is going to be discovered.
Keep in mind this isn’t my field so it’s not a professional opinion it just feels like we are chasing elegance rather than going back to the drawing board.
We are still really bad at measuring distances and thus anything else at those scales the distance of the galaxy in question went from 20 something to 50 something to over 70M light years with consecutive measurements and I’m still not sure we got it right.
We are heavily reliant on “standard candles” for measuring distances and in the end it’s all about calibration which is somewhat still based on guess work as in we hope that we got the objects absolute luminance correct before comparing it to the absorbed luminance.
I should also mention that we not only using standard candles, parallax measurements are also used and those are probably relatively accurate however we can usually only use them for relatively near by stelar objects so they aren’t useful for measuring distances to galaxies or even remote stars within our own galaxy.
We did use parallax to check some of our standard candles but for galaxies many of our standard candles are supernovae not stars so there is still a bunch of variance there.
The galaxy in question makes it even harder to be confident in our ability to measure its distance accurately it’s very sparse, the stars are in it are mostly about 10B years old and are very dim and it doesn’t have much if any star formation.
However to explain the rotation curves the extra mass must have a different density profile, and it has to be present far beyond the edge of the visible galaxy.
If one assumes a particle which can't emit thermal radiation as it does not interact with electromagnetism, then it won't cool down and will remain in a diffuse blob around the galaxy.
Turns out one can get good fits to galaxy rotation curves with a huge diffuse blob of such a particles around a galaxy.
Nice auto-correct