[Avodah] simple daf yomi question

[Sholom Simon]

Daf yomi has entered the famous "Sugya of R Chanina S'gan HaKohamim".
(Tangent: I've been told it's famous for it's difficulty, although in my
limited learning, I'd never heard of it before).  Indeed, it seems to be
it'd be pretty hard to understand without an artscroll or a maggid shiur
helping one along (I have both).

In any event, over shabbos I was discussing the broad issues of the sugya
with my wife -- namely, that we're talking about whether, on eruv Pesach,
one can burn terumah chometz with tamei chometz.

She asked (my limited understanding is that the stereotype for women
vis-a-vis learning is that they tend to ask very practical questions -- if
so, this fits the stereotype to a "T"): why *would* someone have terumah
around that they need to burn for Pesach?  Does this entire issue --
speaking practically -- only apply to kohanim?  (Unless we're talking about
a case where you're average Yankel the farmer separated terumah but didn't
give it over to his local kohain yet -- but that didn't sound right.
Should Yankel be burning designated terumah?  But that's a tangent).

So -- thoughts, anyone?  Is this case (on a practical level) speaking only
of a kohain that has terumah chometz lying around the house right before
Pesach?

(Yes, I realize, and thus goes without saying, that on a theoretical level
this raises a gazillion interesting issues from which we learn all kinds of
things -- but I'm just focusing on the metzius here).

-- Sholom
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