For the overall development of the brain, which is badly needed by doctors
To understand the meaning of medical aphorisms
For acquaintance and reading of medical books of the past. It gives indescribable aesthetic pleasure
For understanding medical terminology (captain obvious)
I will make a separate point that knowledge of word formation in Latin will facilitate the study and understanding of medical English. And you can't imagine a modern doctor without fluent English.
Almost all academic medicine is tied to Latin. If you know the name of an organ, then you know how its inflammation is called. Pneumonia, bursitis, cholecystitis, appendicitis, proctitis. This includes all the names of interventions: gastroscopy, colonography, laparotomy, etc. In the first courses of honey, this is not clear, but then it is easier to name something in Latin than to remember the Russian name.
Mostly, we use this in pairs in anatomy and brag to representatives of other specialties that we are able to summon Satan and sing Gaudeamus. But seriously, Latin is the international language of science, at least ideally. And ideally, if you don't know that liver is "liver" in English, and your English colleague doesn't know that liver means "liver", then the word "hepar" will always help you out. Although I do not know how this is done in real life. Well, and probably to give to the tradition. For many centuries, medicine was studied, in principle, only in Latin. In addition, the prescriptions in the pharmacy are sometimes written in Latin. And we are also forced by some organs to know in Greek, for example, the same spleen, it is both "splen" and "lien". So, without Russian, you can take a test in anatomy, but absolutely not without Latin.
At the moment, Latin is a dead language (that is, they do not speak it). But in medicine, it has been used for many centuries. Latin is a generally accepted language all over the world for the designation of medicines, various prescriptions, etc., i.e., a recipe written in one country, everyone else will understand. And of course, a huge amount of medical literature is written in Latin. Latin is the first language of medicine, the language of anatomy, the unity of terminology.