All of the data used to generate the image was gathered by around a dozen different telescopes around the world. The black hole itself also needs to be in a specific configuration in order for us to be able to see it. It needs to have an accretion disk that's generating light. It needs to be sufficiently large or close. And it can't be obfuscated by other astronomical objects like stars or nebulae. This black hole itself is hugeeeeee and far. It's about the size of our solar system, but it's ~52 million light years away.
In line with that analogy, the basic difficulty is simply that they are tremendously small compared to the sizes of galaxies.
https://www.nytimes.com/2018/10/04/magazine/how-do-you-take-...
The author, Seth Fletcher, also wrote a book about it, "Einstein's Shadow: A Black Hole, a Band of Astronomers, and the Quest to See the Unseeable", if you want more details.
https://www.goodreads.com/book/show/36300597-einstein-s-shad...
This is a direct observation of the immediate environment of a black hole, i.e. its accretion disk and other light bent around it.