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regret

point SORROW, GRIEF, ANGUISH, WOE, REGRET mean distress of mind.
SORROW implies a sense of loss or a sense of guilt and remorse.
e.g. a family united in sorrow upon the patriarch's death
GRIEF implies poignant sorrow for an immediate cause.
e.g. the inexpressible grief of the bereaved parents
ANGUISH suggests torturing grief or dread.
e.g. the anguish felt by the parents of the kidnapped child
WOE is deep or inconsolable grief or misery.
e.g. cries of woe echoed throughout the bombed city
e.g. nagging regret for missed opportunities

verb (regrets, regretting, regretted) with object
feel sad, repentant, or disappointed over (something that has happened or been done, especially a loss or missed opportunity):
〈人が〉〈事〉を後悔する, 悔いる
e.g. she immediately regretted her words
〖~ doing/having done/that節〗 〈人が〉…したことを後悔する
e.g. with clause : I regretted that he did not see you.
used in polite formulas to express apology for or sadness over something unfortunate or unpleasant:
〈人が〉〈事〉を残念[遺憾]に思う, すまないと思う
e.g. any inconvenience to readers is regretted
〖~ that節〗 …であることを残念に思う
e.g. with clause : we regret that no tickets may be exchanged.
archaic feel sorrow for the loss or absence of (something pleasant):
e.g. my home, when shall I cease to regret you!

noun
a feeling of sadness, repentance, or disappointment over something that has happened or been done:
悲しみ; 哀悼
e.g. she expressed her regret at Virginia's death
«…に対する» 後悔, 悔い; 残念, 遺憾 «about, for, over, at»
e.g. he had to decline, to his regret.
(often regrets) an instance or cause of regret:
e.g. she had few regrets in leaving the house.
(often one's regrets) used in polite formulas to express apology for or sadness at an occurrence or an inability to accept an invitation:
⦅書⦆ ; 〖~s〗 (招待などへの)丁寧な断り(状)
e.g. please give your grandmother my regrets.

ORIGIN
late Middle English: from Old French regreterbewail (the dead)’, perhaps from the Germanic base of greet2.