Here's a good way to look at usage:
Go to Corpus of Contemporary American English (COCA) and British National Corpus (BYU-BNC) and enter the word. These are large databases of real language use and will present you with lists of the word in use in British and American English. Then you can see how we use the word and will see patterns- we protest/disagree vehemently and are vehemently opposed to things, but I would be unlikely to say that someone demeaned me vehemently.
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