I think it's more commonly a male trait to want to avoid medicine.
To some extent, I'd say that's a good thing. Better than the opposite for sure.
It's one trait I do wish I had. I hate the notion of taking prescription medicine to fix some who knows mental disorder, something we barely know about anyhow. But... general ailments, it all depends.
But the reason I said I think it's a fairly dominant male trait to avoid medicine...
It all comes down to wanting to seek self-efficiency, and more importantly, prove oneself.
I think some people might look at taking medicine as a "cop-out", a way of admitting defeat and refusing to seek help in something you think you can push through.
Are you medicine avoiders, by any chance, stubborn as all hell?

Might aid in my research.
Because while I will take OTC stuff quite often, I have generally avoided seeking help in just about anything one might receive help. I admit I'll cop out of some things, let myself think certain ways. But other times, I'm downright stubborn about going about things my way, to prove myself.
I think some research out there does quantify that as a "male-brain" characteristic. Of course simple instincts and complicated life ends up meaning the behavior is more apparent in certain areas of life in comparison to others. So one might be excessively stubborn in one area of thought, and someone else in a different area. Multiple areas are definitely possible too.
And this "male-brain" thing isn't decidedly "male". It's more common in males, and a certain brain structure more common in females. But there exists a large percentage of people who are right in the middle, sharing brain structure patterns with both main styles. Of course that also means some lean more to one than the other. Some males who have that mixed brain might lean very heavily toward the "female brain" structure, and vice versa. [note: what I didn't see in that specific body of research is whether a male or female can have an "opposite brain" entirely, without any trace of brain structure more common in their gender]