Definition of peremptorily adverb from the Oxford Advanced American Dictionary

 

peremptorily

 adverb
adverb
NAmE//pəˈrɛmptərəli//
 
(formal)
 
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in a way that allows no discussion or refusal She peremptorily rejected the request. He insisted peremptorily on speaking to Rachel.
See the Oxford Advanced Learner's Dictionary entry: peremptorily