The word "umbraging" refers to taking offense or feeling insulted by someone's words or actions. If you're looking for synonyms for this term, there are many options to choose from, including some that convey a more mild sense of offense (such as "displeased" or "annoyed") and others that suggest a more intense reaction (such as "angered" or "outraged"). Other potential synonyms for "umbraging" might include terms like "offended," "hurt," "upset," "irritated," or "incensed." Ultimately, the right choice will depend on the context and the degree of offense felt by the individual in question.