'Before or After' in one word

Nonconcurrent antonym of concurrent: occurring or existing simultaneously or side by side

Asynchronous: not occurring at the same time.

Then it becomes general reference:

Allochronic used in biology to describe life forms lining in different geologic times.

further can give this meaning depending on how you use it in a sentence, though it is usually used either to mean before or after, not both of them.

2 past a certain point

b. used when saying how long before or after a particular time something is

There is "no further than" usage also.

Relate might be appropriate here.

And, how does this change in attitude relate to your having read Eat, Pray, Love?

While it doesn't exclusively apply to the temporal relationship, it should elicit the answer you require without having to add in "before or after".

Similarly, correspond.

You can cure the ambiguity by adding the word temporally.

How does this change relate temporally to your having read . . .

But, I think it sounds clunky, and is likely unnecessary unless you need to make it absolutely clear.

Informally, Did it happen "pre- or post-" the big game ? I think in this case the prefixes together to form an idiom. Not one word, of course.

Order or chronology are around the mark.

The events occurred in what order ?

What was the chronology of the events?

But the answer might not be "A was before/after...", but rather "first A, then..."

I think you were looking for something like "approximately when" so they can give you an approximate chronology.

From the Oxford dictionary

approximate: - (as an adjective) Close to the actual, but not completely accurate or exact.

-(verb with object) Estimate or calculate a quantity fairly accurately

The other option I have would be to refer to this as Janus. "Was this janus (before and/or after) to reading of X". Janus was a Roman god of many contradicting things and transitions. Typically things are said to be janus if they are antonyms or are ambivalent. However Janus also represented the perception of past and future as well as the transition from one to the other so it would also fit in this context, although virtually no one would know what you are talking about.

How about "When did ___ happen relative to _____?"

Not quite "one word", but closer...

You can ask for the sequence (noun definitions 1 and 2) or order (noun definition 4) in which the events occurred.