Wonder adverbs are provided in this article. The words listed here are commonly found along with the verb wonder in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb WONDER.
briefly, certainly, constantly, exactly, frequently
greatly, hardly, immediately, justly, legitimately
merely, naturally, occasionally, possibly, probably
really, reasonably, rightly, scarcely, secretly
seriously, simply, suddenly, sufficiently, truly
vaguely
Hope this word list had the wonder adverb you were looking for. In addition to adverbs used with wonder, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.