inconsequentially
1. [ adverb ] lacking consequence
Synonyms: inconsequently
Examples:

"`You're so beautifully dressed,' she said and added quite inconsequentially, `Can you stay the night?'"

Related terms: consequentially inconsequent inconsequent
Similar spelling:   inconsequential
  inconsequently
  in_consequence_of
  inconsistently
  inessentiality
  inconsideration