这个句子其实是有歧义的。我们把它稍微改变以下：

1 She answered the question wisely.

wisely为方式状语。句子等于 She answered the question in a wise manner.

2 She wisely answered the question.

wisely为主语下加状语。句子等于 She was wise to answer the question.

方式状语通常位于动宾结构之后。当我们把一个状语从句末位置移至句首或句中位置，这个状语的修饰范围就变窄了，与主语的关系更为密切，成为主语下加状语。所以句2相对于句1，显然是主语下加状语。我们再看网友原句：

She wisely refused to answer such a boring question.

这个句子即使wisely是refused的方式状语，也不宜放在句末，因为那样会让读者误读为修饰不定式to answer。所以，为了避免误读，方式状语也移到了中位状语位置。此时，这个wisely可能是方式状语，也可能是主语下加状语。如果我们将wisely移到句首，则无疑为主语下加状语了：

Wisely, she refused to answer such a boring question.

以下为夸克《大全》有关叙述（P 573）：

If we move a sentence adjunct from E position to I or M, we can do more
than allow another element to be highlighted by end-focus (cf 18.9). We may
appear to narrow the application of the adverbial from the sentence as a
whole so that it now seems to have a special relation with the subject. This is
particularly true with process adverbials of the manner subclass (cf 8.5).
Compare [l] where casually is such an adverbial, functioning as a sentence
adjunct, with [2] where the function has been narrowed to subjunct status:

Leslie greeted the stranger casually. ('in a casual offhand manner',
his greeting was casual) [1]

Casualy, Leslie greeted the stranger. ('Leslie was casual, offhand,
when he greeted the stranger') [2]