So when do we use this tkd rule/option? When do we choose to place the noun with the {-'e'} before the adverb? Is it just a matter of personal preference?

TKD doesn't say why it's done, but I think the reason is obvious: you're fronting the object for emphasis.

Fronting is commonly done in many languages for emphasis. Saying the most important word first is a common thing to do.

So here you're not only saying DaH HaqwI''e' yISam Find the SURGEON (not someone else) now!; you're saying HaqwI''e' DaH yISam, which essentially means The surgeon! Find him/her now!

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SuStel
http://trimboli.name