I've not studied medicine but I've some organic chemistry knowledge thus I've come across this bane of contention previously from others. It doesn't take long for organic chemistry to get bogged down in technical details that I reckon wouldn't be needed by most medical professionals. For instance the angle formed between a benzene ring and an amine group after bonding. That's useful info to chemists but to few others.
But where to we draw the line and how do we determine whether it's actually relevant? I'll make an observation on that question at the risk of encroaching upon your profession with an example (please bear with me I'm not a professional pharmacologist).
Let's start with a well-known example: the metabolism of ethanol by the liver. If I put on a chemist's hat then I'd not be expected to know much more than that the liver employs enzymes to partially oxidize ethanol to acetaldehyde thence from there to acetic acid and finally water and carbon dioxide.
However, if I specialized in the area then I'd need to know much more such as the Gibbs free energy for each metabolic stage and calculating that suddenly becomes very complicated, it'd require me to know much more about the liver's physiology and its enzyme processes. If so, then I'd posit the level of knowledge I'd require would be more than would be expected of you if you were, say, a general practitioner.
Viewing it from your side, you'd have to know enough basic organic chemistry to make sense of the various stages the liver goes through to reduce ethanol to H2O and CO2 such as the basics of Gibbs free energy as ethanol's metabolism provides the body with energy thus you'd have to have an overview of how enzymes go about their work—alcohol dehydrogenase/ADH for instance.
This is where drawing lines gets complicated. If we treat an enzyme as a black box that does various things then we can map out an overall picture of how the liver does its job and perhaps that's all the average practitioner needs to know (I'm not familiar with the extent of that requirement). However, if you are required to have a thorough understanding of how enzymes work then a much greater knowledge of organic chemistry would be required. For instance, the chemistry of alcohol dehydrogenase/ADH and it's complicated, so too the final stage of ethanol's elimination wherein acetyl coenzyme A is involved.
From an outsiders' perspective, it doesn't seem reasonable to me that to do their job that those on the first line of medicine would need chemistry to a depth required to understand how acetyl-CoA works at the molecular level. That would seem a waste of time.
On the other hand a basic understanding of organic chemistry seems necessary to have a cognizant overview of the workings of the liver.
Looking in from the outside it's a difficult call. My own doctor usually writes prescriptions in a drug's proprietary name, on occasions he asks if I want the cheaper generic version to which I always answer yes, he's then been been known to ask me for its chemical name having forgotten it (for some unclear reason he seems to assume that I know more chemistry than he does).
Perhaps this is an indicator that many if not most doctors practice drug/pharmacy medicine at a much higher level than that of molecular chemistry—if so then it would seem that having to have detailed knowledge of the subject at this low level is unnecessary.
Apologies if that seemed a little short on in depth. I intended more but omitted some relevant stuff for brevity (there's more to discuss about this topic but there's practical limits to that on HN). Also, as my profession is electronics, my emphasis may seem a little off not having the same familiarity with the issues as you would have.