adverb (r)

• with resignation and acceptance; in a resigned manner(adv.all)

  Example:
  Resignedly, I telegraphed back that it was all right with me if he insisted.
  

  source: wordnet30
• in a hopeless resigned manner(adv.all)

  Synonym:
  abjectly
  

  source: wordnet30
• With submission.(adverb)

  source: webster1913