All the text in this article relates to medicine, but the concept of "sufficient cause" has been well-known in philosophy and in science for centuries.

I suggest:
Broaden the definition
Point out the term's long history.
Contrast with "necessary cause" (A won't happen unless B happens, but als has other prequisites).
Examples of the concept's use in various fields.
Possibly create a separate page "Sufficient cause (medicine)" and re-link other medical pages to it.