"Bigwigged" is a somewhat outdated word that means "important" or "influential." If you're looking for synonyms, there are several options depending on the context of your sentence. For instance, you might use "high-ranking," "powerful," or "prominent" in place of "bigwigged." If you're talking about someone who's well-known in their field, you could use "notable," "renowned," or "celebrated." Other options might include "influential," "established," or "distinguished." Ultimately, the best synonym for "bigwigged" will depend on the specific meaning and tone you're trying to convey.