Two points come to mind that you might find interesting.

First, Myers-Briggs uses four dimensions to describe personality, based loosely on Jung's system. One dimension in particular, namely Sensing versus iNtuiting, describes (among other things) the inclination to prefer the general rule first (as iNtuitives do) or specific examples first (as Sensates do). Intuitives tends to baffle Sensates by describing high-level abstractions and often forgetting to ground them in examples at all, which can make Sensates look like simpletons to the iNtuitives in question.

If that sounds like it might fit, you could try making a point of starting with examples when talking to this particular lady. I usually find that Sensates follow a lot more easily if I start with examples and then label the appropriate parts of the example as needed.

(If that's not quite what you're talking about, then my apologies for taking this on an irrelevant tangent!)

Second, this point:

Someone fully understanding a concept ought to be able to use that understanding as a guide to understand analogous unfamiliar topics.

...refers to something that in education research (and I think in psychology?) is known as transfer. I'm not deeply familiar with the transfer literature, but I do know enough to say that "fully understanding a concept" ends up functioning a little like a "no true Scotsman" argument in this context. Analogies aren't in the environment; they're part of how we as intelligent beings perceive similarities in our environment. The fact is that someone can understand a concept perfectly well but utterly fail to notice its analogous application in instances that might be downright obvious to someone else. This is a huge problem in education because we often don't notice when we're assuming that students will "obviously get" some critical part of the lesson; the only reason they'd "obviously get" it is that it's obvious to us.

To learn more about the history of transfer research and/or some modern approaches to this, I'd suggest looking up some of Dr. Joanne Lobato's work on "actor-oriented transfer". (That's just a bit outside my specialty, so I'm not sure which specific papers to recommend. Sorry!)