Headed adverbs are provided in this article. The words listed here are commonly found along with the verb headed in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb HEADED.
actually, apparently, clearly, currently, definitely
directly, eventually, finally, formerly, generally
immediately, initially, obviously, originally, previously
probably, quickly, quietly, really, reluctantly
respectively, simply, slowly, surely, ultimately
usually
Hope this word list had the headed adverb you were looking for. In addition to adverbs used with headed, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.